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Systems word problems: sum and difference

Year 9 maths · Fieldbook Learning

Name ______________________ Date __________

Write two equations for the two unknown numbers, then solve the system.

  1. Two numbers have a sum of 17 and a difference of 1. What are the numbers? Write the larger first, like (9, 4).
  2. Two numbers have a sum of 21 and a difference of 9. What are the numbers? Write the larger first, like (9, 4).
  3. Two numbers have a sum of 5 and a difference of 3. What are the numbers? Write the larger first, like (9, 4).
  4. Two numbers have a sum of 13 and a difference of 3. What are the numbers? Write the larger first, like (9, 4).
  5. Two numbers have a sum of 48 and a difference of 2. What are the numbers? Write the larger first, like (9, 4).
  6. Two numbers have a sum of 4 and a difference of 2. What are the numbers? Write the larger first, like (9, 4).
  7. Two numbers have a sum of 23 and a difference of 17. What are the numbers? Write the larger first, like (9, 4).
  8. Two numbers have a sum of 6 and a difference of 4. What are the numbers? Write the larger first, like (9, 4).
  9. Two numbers have a sum of 5 and a difference of 1. What are the numbers? Write the larger first, like (9, 4).
  10. Two numbers have a sum of 43 and a difference of 19. What are the numbers? Write the larger first, like (9, 4).
  11. Two numbers have a sum of 72 and a difference of 16. What are the numbers? Write the larger first, like (9, 4).
  12. Two numbers have a sum of 79 and a difference of 13. What are the numbers? Write the larger first, like (9, 4).
  13. Two numbers have a sum of 22 and a difference of 18. What are the numbers? Write the larger first, like (9, 4).
  14. Two numbers have a sum of 94 and a difference of 24. What are the numbers? Write the larger first, like (9, 4).
  15. Two numbers have a sum of 69 and a difference of 51. What are the numbers? Write the larger first, like (9, 4).
  16. Two numbers have a sum of 7 and a difference of 3. What are the numbers? Write the larger first, like (9, 4).
  17. Two numbers have a sum of 15 and a difference of 1. What are the numbers? Write the larger first, like (9, 4).
  18. Two numbers have a sum of 121 and a difference of 111. What are the numbers? Write the larger first, like (9, 4).
  19. Two numbers have a sum of 38 and a difference of 32. What are the numbers? Write the larger first, like (9, 4).
  20. Two numbers have a sum of 104 and a difference of 98. What are the numbers? Write the larger first, like (9, 4).
More free practice: fieldbooklearning.com/uk/practice/year-9/systems-word-problems-sum-and-difference/

Answer key: Systems word problems: sum and difference

  1. (9, 8)
  2. (15, 6)
  3. (4, 1)
  4. (8, 5)
  5. (25, 23)
  6. (3, 1)
  7. (20, 3)
  8. (5, 1)
  9. (3, 2)
  10. (31, 12)
  11. (44, 28)
  12. (46, 33)
  13. (20, 2)
  14. (59, 35)
  15. (60, 9)
  16. (5, 2)
  17. (8, 7)
  18. (116, 5)
  19. (35, 3)
  20. (101, 3)