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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 371 · 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 18 and their difference is 12. What is the smaller number?
  2. 2.One number is 4 times another. Their difference is 33. What is the smaller number?
  3. 3.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 9. What is the number?
  4. 4.One number is 6 times another. Their difference is 90. What is the smaller number?
  5. 5.The sum of two numbers is 129 and their difference is 5. What is the larger number?
  6. 6.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?
  7. 7.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 9. What is the number?
  8. 8.The sum of 3 consecutive numbers is 135. What is the smallest of them?
  9. 9.The sum of 3 consecutive odd numbers is 153. What is the largest of them?
  10. 10.The sum of two numbers is 121 and their difference is 5. What is the smaller number?
  11. 11.The sum of two numbers is 101 and their difference is 9. What is the larger number?
  12. 12.The sum of two numbers is 24 and their difference is 12. What is the larger number?
  13. 13.The sum of 4 consecutive numbers is 134. What is the smallest of them?
  14. 14.The sum of 3 consecutive numbers is 42. What is the smallest of them?
  15. 15.The sum of 3 consecutive numbers is 174. What is the largest of them?
  16. 16.One number is 2 times another. Their difference is 24. What is the smaller number?
  17. 17.The sum of 4 consecutive numbers is 46. What is the largest of them?
  18. 18.The sum of two numbers is 98 and their difference is 38. What is the larger number?
  19. 19.One number is 6 times another. Their difference is 65. What is the smaller number?
  20. 20.The sum of 4 consecutive numbers is 242. What is the largest of them?
  21. 21.The sum of two numbers is 67 and their difference is 35. What is the smaller number?
  22. 22.One number is 2 times another. Their difference is 13. What is the smaller number?
  23. 23.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?
  24. 24.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?
  25. 25.The sum of two numbers is 18 and their difference is 2. What is the larger number?
  26. 26.The sum of two numbers is 17 and their difference is 9. What is the smaller number?
  27. 27.The sum of 4 consecutive numbers is 198. What is the smallest of them?
  28. 28.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 27. What is the number?
  29. 29.One number is 4 times another. Their difference is 102. What is the smaller number?
  30. 30.The sum of 4 consecutive numbers is 170. What is the smallest of them?
  31. 31.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 72. What is the number?
  32. 32.One number is 3 times another. Their difference is 80. What is the smaller number?
  33. 33.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?
  34. 34.The sum of two numbers is 121 and their difference is 71. What is the smaller number?
  35. 35.The sum of two numbers is 113 and their difference is 55. What is the smaller number?
  36. 36.The sum of two numbers is 151 and their difference is 25. What is the smaller number?
  37. 37.The sum of two numbers is 69 and their difference is 19. What is the larger number?
  38. 38.The sum of two numbers is 50 and their difference is 34. What is the smaller number?
  39. 39.The sum of two numbers is 36 and their difference is 26. What is the smaller number?
  40. 40.The sum of two numbers is 28 and their difference is 24. What is the larger number?

Answer key

  1. 3
  2. 11
  3. 45
  4. 18
  5. 67
  6. 27
  7. 34
  8. 44
  9. 53
  10. 58
  11. 55
  12. 18
  13. 32
  14. 13
  15. 59
  16. 24
  17. 13
  18. 68
  19. 13
  20. 62
  21. 16
  22. 13
  23. 29
  24. 78
  25. 10
  26. 4
  27. 48
  28. 14
  29. 34
  30. 41
  31. 19
  32. 40
  33. 36
  34. 25
  35. 29
  36. 63
  37. 44
  38. 8
  39. 5
  40. 26

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