SOLUTION: Hello, can you please help me solve this problems:
1.) One number is 3 more than the other. Their sum is 7. Find the numbers.
2.) The denominator of a fraction is twice the n
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1.) One number is 3 more than the other. Their sum is 7. Find the numbers.
2.) The denominator of a fraction is twice the n
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Question 149189: Hello, can you please help me solve this problems:
1.) One number is 3 more than the other. Their sum is 7. Find the numbers.
2.) The denominator of a fraction is twice the numerator. If the sum of the
terms is 3, what is the fraction?
3.) The sum of two numbers is 165 and their difference is 29. Find the
numbers.
4.) If the numerator of a certain fraction is increased by 6 and its
denominator is decreased by 5, the resulting fraction is equal to 3/4.
If the reciprocal of the original fraction is decreased by 1, the
resulting fraction is 16/9. Find the original fraction. Found 2 solutions by oscargut, ankor@dixie-net.com:Answer by oscargut(2103) (Show Source):
You can put this solution on YOUR website! 1.) One number is 3 more than the other. Their sum is 7. Find the numbers.
y=x+3, x+y=7 then x+x=3=7 then 2x=4 then x=2 and y=5
2.) The denominator of a fraction is twice the numerator. If the sum of the
terms is 3, what is the fraction?
fraction is x/2x x+2x=3x=3 then x=1 and fraction is 1/2
3.) The sum of two numbers is 165 and their difference is 29. Find the
numbers.
x+y=165
x-y=29
adding
2x=194
x=97 and y=68
4.) If the numerator of a certain fraction is increased by 6 and its
denominator is decreased by 5, the resulting fraction is equal to 3/4.
If the reciprocal of the original fraction is decreased by 1, the
resulting fraction is 16/9. Find the original fraction.
fraction is x/y
(x+6)/(y-5)=3/4
(y/x)-1=16/9
then
4(x+6)=3(y-5)
y/x=25/9
4x+24=3y-15
9y=25x
4x-3y=-39
-25x+9y=0
12x-9y=-117
-25x+9y=0
adding
You can put this solution on YOUR website! 1.) One number is 3 more than the other. Their sum is 7. Find the numbers.
Let x = "one number
then
(x-3) = "other number
:
"Their sum is 7"
x + (x-3) = 7
2x = 7 + 3
x =
x = 5
:
Check: 5 - 3 = 2: 5 + 2 = 7
:
:
2.) The denominator of a fraction is twice the numerator. If the sum of the
terms is 3, what is the fraction?
Let x = the numerator
then
2x = denominator
Obviously, if x + 2x = 3, then x = 1 and the fraction is
:
:
3.) The sum of two numbers is 165 and their difference is 29. Find the
numbers.
x + y = 165
x - y = 29
------------adding eliminates y:
2x + 0 = 194
x =
x = 97
I'll let you find y
:
:
4.) If the numerator of a certain fraction is increased by 6 and its
denominator is decreased by 5, the resulting fraction is equal to 3/4. =
:
If the reciprocal of the original fraction is decreased by 1, the
resulting fraction is 16/9. - 1 = = + 1 = + =
Find the original fraction.
:
;
Check solution in the 1st statement: = = = ; confirms our solutions
:
