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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 896 · 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 138 and their difference is 38. What is the larger number?
  2. 2.One number is 3 times another. Their difference is 10. What is the smaller number?
  3. 3.One number is 4 times another. Their difference is 9. What is the smaller number?
  4. 4.The sum of two numbers is 103 and their difference is 9. What is the smaller number?
  5. 5.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 27. What is the number?
  6. 6.The sum of 3 consecutive numbers is 177. What is the smallest of them?
  7. 7.The sum of two numbers is 127 and their difference is 71. What is the smaller number?
  8. 8.The sum of 3 consecutive even numbers is 162. What is the smallest of them?
  9. 9.The sum of 3 consecutive even numbers is 186. What is the largest of them?
  10. 10.One number is 2 times another. Their difference is 31. What is the smaller number?
  11. 11.The sum of 3 consecutive even numbers is 210. What is the largest of them?
  12. 12.The sum of 5 consecutive numbers is 125. What is the largest of them?
  13. 13.One number is 4 times another. Their difference is 30. What is the smaller number?
  14. 14.The sum of 3 consecutive even numbers is 66. What is the largest of them?
  15. 15.The sum of 3 consecutive numbers is 132. What is the largest of them?
  16. 16.The sum of two numbers is 25 and their difference is 13. What is the larger number?
  17. 17.The sum of 4 consecutive numbers is 146. What is the smallest of them?
  18. 18.The sum of 5 consecutive numbers is 310. What is the largest of them?
  19. 19.One number is 3 times another. Their difference is 58. What is the smaller number?
  20. 20.One number is 6 times another. Their difference is 150. What is the smaller number?
  21. 21.The sum of 5 consecutive numbers is 75. What is the smallest of them?
  22. 22.One number is 2 times another. Their difference is 12. What is the smaller number?
  23. 23.The sum of 3 consecutive numbers is 150. What is the smallest of them?
  24. 24.The sum of 3 consecutive numbers is 63. What is the smallest of them?
  25. 25.The sum of 3 consecutive numbers is 45. What is the largest of them?
  26. 26.The sum of 3 consecutive numbers is 90. What is the smallest of them?
  27. 27.The sum of two numbers is 35 and their difference is 1. What is the smaller number?
  28. 28.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?
  29. 29.The sum of 4 consecutive even numbers is 52. What is the largest of them?
  30. 30.The sum of two numbers is 53 and their difference is 17. What is the smaller number?
  31. 31.The sum of 4 consecutive odd numbers is 120. What is the largest of them?
  32. 32.The sum of two numbers is 141 and their difference is 45. What is the smaller number?
  33. 33.The sum of two numbers is 13 and their difference is 9. What is the larger number?
  34. 34.The sum of two numbers is 38 and their difference is 2. What is the larger number?
  35. 35.The sum of 3 consecutive even numbers is 168. What is the largest of them?
  36. 36.One number is 6 times another. Their difference is 40. What is the smaller number?
  37. 37.The sum of 5 consecutive numbers is 70. What is the smallest of them?
  38. 38.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 9. What is the number?
  39. 39.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?
  40. 40.One number is 3 times another. Their difference is 16. What is the smaller number?

Answer key

  1. 88
  2. 5
  3. 3
  4. 47
  5. 69
  6. 58
  7. 28
  8. 52
  9. 64
  10. 31
  11. 72
  12. 27
  13. 10
  14. 24
  15. 45
  16. 19
  17. 35
  18. 64
  19. 29
  20. 30
  21. 13
  22. 12
  23. 49
  24. 20
  25. 16
  26. 29
  27. 17
  28. 48
  29. 16
  30. 18
  31. 33
  32. 48
  33. 11
  34. 20
  35. 58
  36. 8
  37. 12
  38. 78
  39. 39
  40. 8

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