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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 769 · 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 162 and their difference is 10. What is the smaller number?
  2. 2.One number is 5 times another. Their difference is 12. What is the smaller number?
  3. 3.One number is 4 times another. Their difference is 90. What is the smaller number?
  4. 4.One number is 5 times another. Their difference is 16. What is the smaller number?
  5. 5.One number is 6 times another. Their difference is 150. What is the smaller number?
  6. 6.The sum of two numbers is 17 and their difference is 13. What is the larger number?
  7. 7.The sum of 3 consecutive even numbers is 180. What is the largest of them?
  8. 8.The sum of two numbers is 103 and their difference is 3. What is the smaller number?
  9. 9.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?
  10. 10.The sum of two numbers is 24 and their difference is 10. What is the smaller number?
  11. 11.The sum of 3 consecutive even numbers is 84. What is the smallest of them?
  12. 12.The sum of two numbers is 120 and their difference is 14. What is the smaller number?
  13. 13.The sum of two numbers is 99 and their difference is 27. What is the smaller number?
  14. 14.The sum of 3 consecutive even numbers is 66. What is the largest of them?
  15. 15.One number is 2 times another. Their difference is 28. What is the smaller number?
  16. 16.The sum of 3 consecutive odd numbers is 249. What is the smallest of them?
  17. 17.The sum of 4 consecutive numbers is 26. What is the largest of them?
  18. 18.The sum of two numbers is 65 and their difference is 17. What is the larger number?
  19. 19.The sum of two numbers is 91 and their difference is 83. What is the smaller number?
  20. 20.The sum of 4 consecutive numbers is 242. What is the smallest of them?
  21. 21.The sum of 3 consecutive numbers is 156. What is the smallest of them?
  22. 22.The sum of 3 consecutive odd numbers is 237. What is the smallest of them?
  23. 23.One number is 3 times another. Their difference is 68. What is the smaller number?
  24. 24.The sum of 3 consecutive even numbers is 132. What is the smallest of them?
  25. 25.The sum of 4 consecutive odd numbers is 48. What is the smallest of them?
  26. 26.One number is 2 times another. Their difference is 12. What is the smaller number?
  27. 27.The digits of a two-digit number add up to 4. When the digits swap places, the number goes up by 18. What is the number?
  28. 28.One number is 5 times another. Their difference is 132. What is the smaller number?
  29. 29.The sum of 4 consecutive odd numbers is 112. What is the smallest of them?
  30. 30.The sum of 3 consecutive odd numbers is 51. What is the smallest of them?
  31. 31.One number is 6 times another. Their difference is 30. What is the smaller number?
  32. 32.The sum of two numbers is 73 and their difference is 67. What is the larger number?
  33. 33.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
  34. 34.One number is 6 times another. Their difference is 195. What is the smaller number?
  35. 35.The sum of 3 consecutive numbers is 111. 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 9. When the digits swap places, the number goes up by 27. What is the number?
  38. 38.The sum of 5 consecutive numbers is 105. What is the largest of them?
  39. 39.The sum of two numbers is 44 and their difference is 4. What is the larger number?
  40. 40.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?

Answer key

  1. 76
  2. 3
  3. 30
  4. 4
  5. 30
  6. 15
  7. 62
  8. 50
  9. 79
  10. 7
  11. 26
  12. 53
  13. 36
  14. 24
  15. 28
  16. 81
  17. 8
  18. 41
  19. 4
  20. 59
  21. 51
  22. 77
  23. 34
  24. 42
  25. 9
  26. 12
  27. 13
  28. 33
  29. 25
  30. 15
  31. 6
  32. 70
  33. 46
  34. 39
  35. 36
  36. 29
  37. 36
  38. 23
  39. 24
  40. 16

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