Questions on Word Problems: Numbers, consecutive odd/even, digits answered by real tutors!

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Question 252089: Can I please get help on this word problem? The sum of two numbers is 46. Four times one number is 4 more than twice the other number. Find the numbers. So far I have tried many times but always end up with an impossible answer. One thing I have tried is, 4x + 2x + 4 = 6(42). But I always end up getting 41 and 1/3. Can you please teach me how to do this problem?
Click here to see answer by stanbon(57377)

Question 252191: A two digit number has different digits. If the difference between the square of the number and the square of the number whose digits are interchanged is a positive perfect square, what is the two digit number?
Click here to see answer by drk(1908)

Question 252234: There are three times as many chocolate cupcakes as vanilla ones. If 1/4 of the chocolate cupcakes have sprinkles, what fractional part are chocolate with sprinkles?
Click here to see answer by rfer(12662)

Question 251149: A, B, and C each can be any digit 0 through 9, possibly the same. The seven-digit whole number: 20ABC01 is a perfect square. What is the middle digit, B?
A.1 B.3 C.5 D.7 E. 9

Click here to see answer by Edwin McCravy(8909)

Question 252280: the average of foureven consecutive numbers a,b,c,d is...........please help me
Click here to see answer by hokies(65)

Question 252291: How many distinct 3‐digit numbers have a digit sum of 8?
a. 36 b. 42 c. 45 d. 46 e. 50
Click here to see answer by checkley77(12569)

Question 251219: A dairy farmer had 54 liters of milk in 3 churns. He wanted to make sure each churn contained 18 liters. First, he poured 1/4 of the firs churn into the second churn. Then he poured 1/2 of the second churn into the third churn. Finally, he poured 1/3 of the third churn into the first churn. How many liters did each churn contain before he started pouring?
Click here to see answer by ankor@dixie-net.com(15657)

Question 252310: Two numbers are such that their difference, their sum, and their product are to
each other as 1:7:24. Their product must equal what number?
Click here to see answer by ankor@dixie-net.com(15657)

Question 252328: The difference between two numbersis 15.When twice the smaller number is subtracted from three times the larger number,the difference is 58.What is the larger number? Please help with equation.
Thank you,
Dana
Click here to see answer by checkley77(12569)

Question 252332: Hi, I needed help with math, and came across this site. Can you help me with this problem?
the sum of two numbers is 47 and their difference is 15, what is the larger number?
Click here to see answer by rfer(12662)

Question 252354: The sum of the squares of two consecutive positive odd numbers is 650 . Find the numbers
Click here to see answer by Alan3354(30993)

Question 252364: What is the units digit of 3^2009?
(a) 1 (b) 3 (c) 5 (d) 7 (e) 9

Click here to see answer by richwmiller(9143)

Question 252364: What is the units digit of 3^2009?
(a) 1 (b) 3 (c) 5 (d) 7 (e) 9

Click here to see answer by scott8148(6628)

Question 252284: Each letter in the problem to the right represents a different digit
All digits in NINE are odd. What is the smallest possible value of NINE?
FOUR
+FIVE
_________
NINE
a. 3135 b. 3537 c. 5153 d. 5351 e. 7173
Click here to see answer by drk(1908)

Question 252490: Grace has 16 jellybeans in her pocket. She has 8 red ones, 4 green ones, and 4 blue ones. What is the minimum number of jelly beans she must take out of her pocket to ensure that she has one of each color?
Could you please show me the set up and solution. Thank You
Click here to see answer by jim_thompson5910(28595)

Question 252512: when N is divided by 5, the remainder is 3. what is the remainder when 7N is divided by 5?
Click here to see answer by richwmiller(9143)

Question 252512: when N is divided by 5, the remainder is 3. what is the remainder when 7N is divided by 5?
Click here to see answer by jim_thompson5910(28595)

Question 252524: If sum of a1+a2+a3+a4+a5+a6+a7+a8+a9+a10+a11+a12=360, find the sum of a1+a3+a5+a7+a9+a11
Click here to see answer by palanisamy(496)

Question 252535: What is the last digit of 2^2005 ?
(a) 0 (b) 2 (c) 4 (d) 5 (e) 6
Click here to see answer by edjones(7569)

Question 250912: The sum of two numbers is six. The sum of the squares of the two numbers is twenty. Find the two numbers.
The sum of the squares of two consecutive positive integers is forty-one. Find the two integers.
The sum of the two numbers is ten. The product of the two numbers is twenty-one. Find the two numbers.
How many consecutive natural numbers beginning with 1 will give a sum of 78?
Click here to see answer by PRMath(123)

Question 252574: The sum of two consecutive odd integers equals their difference cubed. Find the smaller of the two.
Click here to see answer by drk(1908)

Question 252619: I am checking my sons math.
Find four consecutive even integers such that 6 time the sum of the first and second is 8 more than 10 times the fourth.
Rob Dewey...Mitchell's Dad.
Click here to see answer by jim_thompson5910(28595)

Question 252691: the sum of two consecutive odd intergers equals 40?
Click here to see answer by Alan3354(30993)

Question 252691: the sum of two consecutive odd intergers equals 40?
Click here to see answer by fasthomework(5)

Question 250720: A chemist has one solution that is 20% saline and a second that is 65% saline. How many gallons of each should be mixed to get 120 gallons of a solution which is 50% saline?
Click here to see answer by drk(1908)

Question 250722: Zeke's motor cycle traveled 270 miles at a certain speed. Had he gone 15 mph faster, the trip would have taken 3 hours less. Find the speed of the motorcycle.
Click here to see answer by drk(1908)

Question 252879: the question is Show the conjecture is false by finding a counterexample the difference of two numbers is less than the greater number.
Click here to see answer by edjones(7569)

Question 252875: How many times does the digit 6 appear between 30 and 300 in an even number?
Click here to see answer by Edwin McCravy(8909)

Question 252946: One number is five more than another.
Five times the smaller equals four times the larger.
Find the numbers
Click here to see answer by drk(1908)

Question 252946: One number is five more than another.
Five times the smaller equals four times the larger.
Find the numbers
Click here to see answer by mlm47688(4)

Question 252970: What is he product of positive integers a and b such that a is greater than b and 1/a+1/b=1/ab=1?
Click here to see answer by jim_thompson5910(28595)

Question 252970: What is he product of positive integers a and b such that a is greater than b and 1/a+1/b=1/ab=1?
Click here to see answer by richwmiller(9143)

Question 252993: The sum of the two numbers is 39. When the smaller number is doubled and the larger is increased by 3, the resulting numbers are equal. What are the numbers?
Click here to see answer by ptaylor(2048)

Question 253000: Which of the following must be true?

I. The sum of two consecutive integers is odd
II. The sum of three consecutive integers is even
III.The sum of three consecutive integers is a multiple of 3
(A) I only (B) II only (C) I and II only (D) I and III only (E) I, II, and III

Click here to see answer by Theo(3464)

Question 253022: 7. If a number is evenly divisible by 6, it is also evenly divisible by which other numbers?

1. 2 and 3
2. 2 and 4
3. 3 and 4
4. 4 and 6
5. 6 and 8
Click here to see answer by JimboP1977(308)

Question 253021: 6. Ian goes to the grocery store after work. He buys 3/4 pounds of oranges at $0.69 a pound, 1 1/2 pounds of apples at $0.89 a pound, and 3 1/4 pounds of bananas at $0.39 a pound. He also buys 2 gallons of milk at $2.19 a gallon. Ian gives the cashier a ten-dollar bill.
How much change should Ian receive?
1. $1.60
2. $2.49
3. $2.84
4. $3.51
5. $4.69

Click here to see answer by JimboP1977(308)

Question 253020: The price of a computer system is $1,000. Next week the price will increase by 15%.
How much money will you save by purchasing the computer system before the price increase?
1. $15
2. $150
3. $500
4. $850
5. $1150
Click here to see answer by JimboP1977(308)

Question 253019: 3. A bike messenger rode 4.5 miles to pick up a package at the edge of town. She then rode 3.9 miles back into town to deliver the package. The entire ride took her a half-hour, or 0.5 hour.
How much longer was the distance of the trip to pick up the package than the trip to deliver the package?
1. 8.4
2. 6
3. 4
4. 3.4
5. 0.6
Click here to see answer by JimboP1977(308)

Question 253009: One positive number is 1/3 of another number. If the product of the numbers is 12, what is their sum?
(A) 4 (B) 6 (C) 8 (D) 10 (E) 12

Click here to see answer by JimboP1977(308)

Question 253007: If j and k are integers and j+k = 2j +4, which of the following must be true ?
I. j is even
II. k is even
III. k – j is even
(A) None (B) I only (C) II only (D) III only (E) I, II, and III
Click here to see answer by richwmiller(9143)

Question 253088: find a three-digit positive integer such that the sum of all digits is 14, twice the hundreds digit plus the tens digit equals the ones digit, and, if the digits are reversed, the new number plus the original number equals 1090?

Click here to see answer by richwmiller(9143)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845