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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 463 · 40 questions
TalentJR

The method (Use the structure): n consecutive numbers with sum S: the middle (average) is S ÷ n. From sum and difference: larger = (sum + difference) ÷ 2, smaller = (sum − difference) ÷ 2. Swapping the digits changes the number by 9 × (difference of the digits). “k times another, difference D”: smaller = D ÷ (k − 1).

NameDateTime takenScore ___ / 40
  1. 1.The sum of two numbers is 53 and their difference is 17. What is the smaller number?
  2. 2.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 18. What is the number?
  3. 3.The sum of two numbers is 15 and their difference is 9. What is the larger number?
  4. 4.The sum of 3 consecutive odd numbers is 207. What is the largest of them?
  5. 5.One number is 6 times another. Their difference is 90. What is the smaller number?
  6. 6.The sum of 3 consecutive even numbers is 222. What is the smallest of them?
  7. 7.The sum of 3 consecutive numbers is 48. What is the smallest of them?
  8. 8.The digits of a two-digit number add up to 17. When the digits swap places, the number goes up by 9. What is the number?
  9. 9.The sum of two numbers is 163 and their difference is 15. What is the larger number?
  10. 10.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?
  11. 11.One number is 6 times another. Their difference is 120. What is the smaller number?
  12. 12.The sum of 3 consecutive numbers is 42. What is the smallest of them?
  13. 13.The sum of 3 consecutive numbers is 39. What is the largest of them?
  14. 14.The sum of 3 consecutive numbers is 120. What is the largest of them?
  15. 15.One number is 3 times another. Their difference is 16. What is the smaller number?
  16. 16.One number is 4 times another. Their difference is 24. What is the smaller number?
  17. 17.The sum of 3 consecutive even numbers is 204. What is the smallest of them?
  18. 18.The sum of two numbers is 70 and their difference is 2. What is the smaller number?
  19. 19.The sum of two numbers is 119 and their difference is 13. What is the larger number?
  20. 20.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 54. What is the number?
  21. 21.The sum of two numbers is 108 and their difference is 60. What is the larger number?
  22. 22.The sum of 3 consecutive numbers is 168. What is the smallest of them?
  23. 23.The sum of 4 consecutive numbers is 130. What is the smallest of them?
  24. 24.The sum of 3 consecutive numbers is 138. What is the largest of them?
  25. 25.The sum of two numbers is 25 and their difference is 23. What is the smaller number?
  26. 26.One number is 2 times another. Their difference is 9. What is the smaller number?
  27. 27.One number is 5 times another. Their difference is 68. What is the smaller number?
  28. 28.The sum of 4 consecutive odd numbers is 96. What is the smallest of them?
  29. 29.One number is 6 times another. Their difference is 15. What is the smaller number?
  30. 30.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 18. What is the number?
  31. 31.One number is 5 times another. Their difference is 84. What is the smaller number?
  32. 32.One number is 5 times another. Their difference is 52. What is the smaller number?
  33. 33.One number is 3 times another. Their difference is 30. What is the smaller number?
  34. 34.The sum of 3 consecutive even numbers is 228. What is the largest of them?
  35. 35.The sum of 5 consecutive numbers is 285. What is the smallest of them?
  36. 36.One number is 3 times another. Their difference is 58. What is the smaller number?
  37. 37.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 36. What is the number?
  38. 38.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 63. What is the number?
  39. 39.The sum of 3 consecutive even numbers is 90. What is the smallest of them?
  40. 40.The sum of two numbers is 47 and their difference is 19. What is the larger number?

Answer key

  1. 18
  2. 24
  3. 12
  4. 71
  5. 18
  6. 72
  7. 15
  8. 89
  9. 89
  10. 27
  11. 24
  12. 13
  13. 14
  14. 41
  15. 8
  16. 8
  17. 66
  18. 34
  19. 66
  20. 39
  21. 84
  22. 55
  23. 31
  24. 47
  25. 1
  26. 9
  27. 17
  28. 21
  29. 3
  30. 68
  31. 21
  32. 13
  33. 15
  34. 78
  35. 55
  36. 29
  37. 15
  38. 18
  39. 28
  40. 33

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