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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 423 · 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 50 and their difference is 38. What is the smaller number?
  2. 2.The sum of two numbers is 42 and their difference is 22. What is the larger number?
  3. 3.The sum of two numbers is 89 and their difference is 15. What is the larger number?
  4. 4.One number is 3 times another. Their difference is 38. What is the smaller number?
  5. 5.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?
  6. 6.One number is 3 times another. Their difference is 48. What is the smaller number?
  7. 7.The sum of 3 consecutive numbers is 84. What is the largest of them?
  8. 8.The sum of 5 consecutive numbers is 270. What is the largest of them?
  9. 9.One number is 5 times another. Their difference is 116. What is the smaller number?
  10. 10.One number is 6 times another. Their difference is 30. What is the smaller number?
  11. 11.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?
  12. 12.The sum of 3 consecutive odd numbers is 171. What is the largest of them?
  13. 13.One number is 2 times another. Their difference is 24. What is the smaller number?
  14. 14.The sum of 4 consecutive even numbers is 292. What is the smallest of them?
  15. 15.The sum of two numbers is 132 and their difference is 64. What is the larger number?
  16. 16.One number is 6 times another. Their difference is 145. What is the smaller number?
  17. 17.One number is 3 times another. Their difference is 26. What is the smaller number?
  18. 18.The sum of 3 consecutive even numbers is 42. What is the largest of them?
  19. 19.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
  20. 20.The sum of two numbers is 111 and their difference is 9. What is the smaller number?
  21. 21.One number is 2 times another. Their difference is 36. What is the smaller number?
  22. 22.The sum of 4 consecutive numbers is 50. What is the largest of them?
  23. 23.The sum of 4 consecutive numbers is 86. What is the largest of them?
  24. 24.The sum of 4 consecutive odd numbers is 312. What is the largest of them?
  25. 25.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?
  26. 26.The sum of 3 consecutive numbers is 180. What is the smallest of them?
  27. 27.One number is 4 times another. Their difference is 24. What is the smaller number?
  28. 28.The sum of 3 consecutive even numbers is 180. What is the smallest of them?
  29. 29.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?
  30. 30.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 9. What is the number?
  31. 31.The sum of 4 consecutive even numbers is 196. What is the smallest of them?
  32. 32.The sum of 3 consecutive numbers is 111. What is the largest of them?
  33. 33.The sum of 3 consecutive odd numbers is 171. What is the smallest of them?
  34. 34.One number is 6 times another. Their difference is 165. What is the smaller number?
  35. 35.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?
  36. 36.One number is 4 times another. Their difference is 48. What is the smaller number?
  37. 37.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 27. What is the number?
  38. 38.The sum of two numbers is 64 and their difference is 54. What is the smaller number?
  39. 39.One number is 5 times another. Their difference is 32. What is the smaller number?
  40. 40.The sum of two numbers is 96 and their difference is 50. What is the smaller number?

Answer key

  1. 6
  2. 32
  3. 52
  4. 19
  5. 13
  6. 24
  7. 29
  8. 56
  9. 29
  10. 6
  11. 19
  12. 59
  13. 24
  14. 70
  15. 98
  16. 29
  17. 13
  18. 16
  19. 49
  20. 51
  21. 36
  22. 14
  23. 23
  24. 81
  25. 89
  26. 59
  27. 8
  28. 58
  29. 46
  30. 67
  31. 46
  32. 38
  33. 55
  34. 33
  35. 78
  36. 16
  37. 25
  38. 5
  39. 8
  40. 23

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