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Systems word problems: one number is a multiple of another

Grade 8 math · Fieldbook Learning

Name ______________________ Date __________

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

  1. One number is 3 times another number. Their sum is 28. What are the numbers? Write the smaller first, like (3, 12).
  2. One number is 5 times another number. Their sum is 48. What are the numbers? Write the smaller first, like (3, 12).
  3. One number is 4 times another number. Their sum is 65. What are the numbers? Write the smaller first, like (3, 12).
  4. One number is 3 times another number. Their sum is 72. What are the numbers? Write the smaller first, like (3, 12).
  5. One number is 2 times another number. Their sum is 24. What are the numbers? Write the smaller first, like (3, 12).
  6. One number is 5 times another number. Their sum is 162. What are the numbers? Write the smaller first, like (3, 12).
  7. One number is 3 times another number. Their sum is 80. What are the numbers? Write the smaller first, like (3, 12).
  8. One number is 3 times another number. Their sum is 76. What are the numbers? Write the smaller first, like (3, 12).
  9. One number is 4 times another number. Their sum is 140. What are the numbers? Write the smaller first, like (3, 12).
  10. One number is 2 times another number. Their sum is 66. What are the numbers? Write the smaller first, like (3, 12).
  11. One number is 3 times another number. Their sum is 192. What are the numbers? Write the smaller first, like (3, 12).
  12. One number is 4 times another number. Their sum is 220. What are the numbers? Write the smaller first, like (3, 12).
  13. One number is 4 times another number. Their sum is 355. What are the numbers? Write the smaller first, like (3, 12).
  14. One number is 2 times another number. Their sum is 63. What are the numbers? Write the smaller first, like (3, 12).
  15. One number is 2 times another number. Their sum is 144. What are the numbers? Write the smaller first, like (3, 12).
  16. One number is 2 times another number. Their sum is 168. What are the numbers? Write the smaller first, like (3, 12).
  17. One number is 4 times another number. Their sum is 465. What are the numbers? Write the smaller first, like (3, 12).
  18. One number is 3 times another number. Their sum is 196. What are the numbers? Write the smaller first, like (3, 12).
  19. One number is 3 times another number. Their sum is 116. What are the numbers? Write the smaller first, like (3, 12).
  20. One number is 2 times another number. Their sum is 321. What are the numbers? Write the smaller first, like (3, 12).
More free practice: fieldbooklearning.com/ca/practice/grade-8/systems-word-problems-one-number-is-a-multiple-of-another/

Answer key: Systems word problems: one number is a multiple of another

  1. (7, 21)
  2. (8, 40)
  3. (13, 52)
  4. (18, 54)
  5. (8, 16)
  6. (27, 135)
  7. (20, 60)
  8. (19, 57)
  9. (28, 112)
  10. (22, 44)
  11. (48, 144)
  12. (44, 176)
  13. (71, 284)
  14. (21, 42)
  15. (48, 96)
  16. (56, 112)
  17. (93, 372)
  18. (49, 147)
  19. (29, 87)
  20. (107, 214)