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Algebra 1B
Sum and Difference Word Problems
Translate to a system of equations and solve.
1. The sum of two numbers is 27. One number is 3 more than the other. Find the
numbers.
2. The sum of two numbers is 36. One number is 2 more than the other. Find the
numbers.
3. The sum of two numbers is 58. The difference of the numbers is 16. Find the numbers.
4. Find two numbers whose sum is 66 and whose difference is 8.
5. The difference between two numbers is 16. Three times the larger number is seven
times the smaller. What are the numbers?
6. The difference between two numbers is 18. The sum of twice the smaller number and
three times the larger is 74. What are the numbers?
7. The sum of two numbers is 115. The difference is 21. Find the numbers.
8. The sum of two numbers is 30. Their difference is 40. Find the numbers.
9. The sum of two numbers is 4. Two times the first number is 7 more than three times
the second number.
10. The sum of two numbers is 6. Three times the second number is 2 less than the first
number.
11. The sum of two numbers is 8. Two times the second number is seven more than the
first number.
12. The sum of two numbers is 5. Five times the first number is 17 more than three times
the second number.
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