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This Lesson (OVERVIEW of lessons for word problems on finding numbers) was created by by ikleyn(52752)  : View Source, ShowAbout ikleyn:
OVERVIEW of lessons for word problems on finding numbers
My lessons in this site for word problems on finding numbers are
- Simple and simplest word problems on finding numbers solved by different methods
- Find the number using a single linear equation
- Find the number using quadratic equation
- Find the numbers using system of equations
- Digit problems - Find the number using system of equations
- Entertainment problems on finding numbers
List of lessons with short annotations
Simple and simplest word problems on finding numbers solved by different methods
Problem 1. From a certain number, '3' is subtracted and the result is divided by 2.
The final answer is 5. Find the number.
Problem 2. The sum of two numbers is 21. Five times the first number added to 2 times the second number is 66.
Find the numbers.
Problem 3. You have 2 positive numbers. One number is one-fifth of the other number.
The difference between the two numbers is 284. Find the numbers.
Find the number using a single linear equation
Problem 1. Twice a number is added to the number, giving 90. Find the number.
Problem 2. When 6 is subtracted from a number, the result is seven times the number. Find the the number.
Problem 3. Four times a number is equal to twelve more than the number. Find the number.
Problem 4. Twice a number is twenty less than the product of seven and the number. Find the number.
Problem 5. One number is 17 less than another and their sum is 125. Find the numbers.
Problem 6. The sum of the digits of a two digit number is 11. The new number obtained when the digits are reversed
is 7 more than twice the original number. Find the original number.
Problem 7. One number is bigger than another by 406. If the bigger number is divided by the smaller one, you’ll get the quotient 3 and remainder 66.
Find the numbers.
Problem 8. The unit digit of a two digit number is 1 less than the tens digit.
If the number is increased by 8 and then divided by the sum of the digits, the result is 8.
Find the number.
Find the number using quadratic equation
Problem 1. Find two integers with a product of -40 and a sum of -3.
Problem 2. Two positive integers differ by 6. Their product is 616. Find the integers.
Problem 3. The difference of two positive numbers is six. Their product is 223 less than the sum of their squares.
What are the two numbers?
Problem 4. The sum of a number and its reciprocal is 10/3. What is the number?
Problem 5. One positive number is 10 less than another positive number. If the reciprocal of the smaller number is added
to three times the reciprocal of the larger number, the sum is 1/4. Find the two numbers.
Problem 6. The product of two consecutive odd integers is 323. Find the integers.
Find the numbers using system of equations
Problem 1. If the larger of two numbers is divided by the smaller, the quotient is 7 and the remainder is 19.
But if 3 times the greater is divided by twice the smaller, the quotient is 11 and the remainder is 19.
What are the numbers?
Problem 2. Three times the smaller of two numbers plus 2 times the larger number is 27.
Four times the smaller number minus 2 times the larger number is -6. Find the numbers.
Problem 3. The tens digit of a two digit number is 2 less than the units digit.
The difference between the squares of the digits is 32. What is the number ?
Problem 4. The sum of three numbers is 14. The sum of twice the first number, 4 times the second number, and 5 times the third number is 62.
The difference between 4 times the first number and the second number is negative 1. Find the three numbers.
Problem 5. The sum of three numbers is 1. If the second number is subtracted from the sum of the first and third numbers, the result is -1.
If the third number is subtracted from the sum of the first and second numbers, the result is -9. Find the three numbers.
Problem 6. The sum of three numbers is 8. The first number minus the second plus the third is 4.
The first minus the third is 2 more than the second. Find the numbers.
Problem 7. The difference between two positive integers is 5 and the difference between their reciprocals is . Find the integers.
Digit problems - Find the number using system of equations
Problem 1. A two-digit number is 6 times the units digit. Find the number if the sum of its digit is 6.
Problem 2. A two-digit number is 2 more than 8 times the sum of its digits.
Find the number if its tens digit is 6 more than its unit digit.
Problem 3. The sum of the digits of a two-digit number is 11.
If the digits are reversed, the new number is 45 less than the original number.
Find the number.
Problem 4. A two digit number is such that its tens digit is greater than its unit digit by 5.
If the number is 14 less than 3 times the product of its digits, find the number
Entertainment problems on finding numbers
Problem 1. Find a two-digit positive even integer number less than 90 with the sum of digits 15.
Problem 2. The product of two consecutive odd integers is 323. Find the integers
Problem 3. Find two numbers whose sum is 1 and product is 4/25.
Problem 4. A five digit number is the fourth power of an integer. The sum of the first, third, and fifth digits
equals the sum of the second and fourth digits. What is the number ?
Use this file/link ALGEBRA-I - YOUR ONLINE TEXTBOOK to navigate over all topics and lessons of the online textbook ALGEBRA-I.
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