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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 123 · 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 129 and their difference is 15. What is the larger number?
  2. 2.One number is 2 times another. Their difference is 10. What is the smaller number?
  3. 3.The sum of 3 consecutive odd numbers is 195. What is the largest of them?
  4. 4.One number is 6 times another. Their difference is 25. What is the smaller number?
  5. 5.The sum of 3 consecutive numbers is 156. What is the largest of them?
  6. 6.One number is 6 times another. Their difference is 125. What is the smaller number?
  7. 7.The sum of two numbers is 29 and their difference is 25. What is the larger number?
  8. 8.The sum of 5 consecutive numbers is 165. What is the largest of them?
  9. 9.The sum of 4 consecutive even numbers is 284. What is the smallest of them?
  10. 10.The sum of 4 consecutive odd numbers is 152. What is the smallest of them?
  11. 11.The sum of 4 consecutive odd numbers is 240. What is the largest of them?
  12. 12.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?
  13. 13.One number is 2 times another. Their difference is 7. What is the smaller number?
  14. 14.The sum of two numbers is 58 and their difference is 4. What is the smaller number?
  15. 15.The sum of two numbers is 40 and their difference is 16. What is the smaller number?
  16. 16.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 63. What is the number?
  17. 17.The sum of 4 consecutive even numbers is 44. What is the largest of them?
  18. 18.One number is 5 times another. Their difference is 12. What is the smaller number?
  19. 19.One number is 5 times another. Their difference is 84. What is the smaller number?
  20. 20.The sum of two numbers is 91 and their difference is 23. What is the smaller number?
  21. 21.The sum of two numbers is 101 and their difference is 65. What is the larger number?
  22. 22.One number is 3 times another. Their difference is 70. What is the smaller number?
  23. 23.The sum of 3 consecutive numbers is 180. What is the smallest of them?
  24. 24.The sum of two numbers is 102 and their difference is 70. What is the smaller number?
  25. 25.The sum of 3 consecutive numbers is 54. What is the largest of them?
  26. 26.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 9. What is the number?
  27. 27.One number is 2 times another. Their difference is 37. What is the smaller number?
  28. 28.The sum of two numbers is 110 and their difference is 24. What is the smaller number?
  29. 29.The digits of a two-digit number add up to 16. When the digits swap places, the number goes up by 18. What is the number?
  30. 30.The sum of 5 consecutive numbers is 255. What is the largest of them?
  31. 31.The sum of 3 consecutive even numbers is 222. What is the smallest of them?
  32. 32.The sum of 3 consecutive numbers is 39. What is the largest of them?
  33. 33.One number is 2 times another. Their difference is 26. What is the smaller number?
  34. 34.The sum of two numbers is 117 and their difference is 37. What is the larger number?
  35. 35.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?
  36. 36.The sum of 5 consecutive numbers is 40. What is the largest of them?
  37. 37.The sum of two numbers is 20 and their difference is 2. What is the smaller number?
  38. 38.The sum of two numbers is 76 and their difference is 28. What is the smaller number?
  39. 39.The sum of two numbers is 21 and their difference is 13. What is the larger number?
  40. 40.The sum of two numbers is 25 and their difference is 11. What is the smaller number?

Answer key

  1. 72
  2. 10
  3. 67
  4. 5
  5. 53
  6. 25
  7. 27
  8. 35
  9. 68
  10. 35
  11. 63
  12. 78
  13. 7
  14. 27
  15. 12
  16. 29
  17. 14
  18. 3
  19. 21
  20. 34
  21. 83
  22. 35
  23. 59
  24. 16
  25. 19
  26. 56
  27. 37
  28. 43
  29. 79
  30. 53
  31. 72
  32. 14
  33. 26
  34. 77
  35. 68
  36. 10
  37. 9
  38. 24
  39. 17
  40. 7

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