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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 389 · 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 40 and their difference is 10. What is the larger number?
  2. 2.The sum of two numbers is 62 and their difference is 6. What is the smaller number?
  3. 3.The sum of 5 consecutive numbers is 115. What is the smallest of them?
  4. 4.The sum of two numbers is 151 and their difference is 7. What is the larger number?
  5. 5.One number is 6 times another. Their difference is 105. What is the smaller number?
  6. 6.The sum of 3 consecutive odd numbers is 225. What is the largest of them?
  7. 7.One number is 2 times another. Their difference is 26. What is the smaller number?
  8. 8.One number is 4 times another. Their difference is 54. What is the smaller number?
  9. 9.The sum of two numbers is 159 and their difference is 5. What is the smaller number?
  10. 10.The sum of 3 consecutive odd numbers is 141. What is the largest of them?
  11. 11.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?
  12. 12.The sum of 4 consecutive even numbers is 172. What is the smallest of them?
  13. 13.The sum of two numbers is 91 and their difference is 59. What is the larger number?
  14. 14.One number is 6 times another. Their difference is 130. What is the smaller number?
  15. 15.The sum of 5 consecutive numbers is 285. What is the smallest of them?
  16. 16.The sum of two numbers is 97 and their difference is 39. What is the smaller number?
  17. 17.The sum of 3 consecutive numbers is 54. What is the smallest of them?
  18. 18.One number is 3 times another. Their difference is 10. What is the smaller number?
  19. 19.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?
  20. 20.The sum of 5 consecutive numbers is 180. What is the largest of them?
  21. 21.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 36. What is the number?
  22. 22.One number is 5 times another. Their difference is 12. What is the smaller number?
  23. 23.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 27. What is the number?
  24. 24.One number is 4 times another. Their difference is 15. What is the smaller number?
  25. 25.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?
  26. 26.The sum of 3 consecutive even numbers is 216. What is the smallest of them?
  27. 27.One number is 5 times another. Their difference is 28. What is the smaller number?
  28. 28.The sum of 3 consecutive odd numbers is 87. What is the smallest of them?
  29. 29.The sum of two numbers is 113 and their difference is 45. What is the larger number?
  30. 30.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?
  31. 31.The sum of 3 consecutive odd numbers is 87. What is the largest of them?
  32. 32.The sum of 4 consecutive odd numbers is 296. What is the smallest of them?
  33. 33.One number is 6 times another. Their difference is 145. What is the smaller number?
  34. 34.The sum of two numbers is 80 and their difference is 18. What is the smaller number?
  35. 35.The sum of 4 consecutive numbers is 50. What is the largest of them?
  36. 36.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?
  37. 37.One number is 6 times another. Their difference is 170. What is the smaller number?
  38. 38.One number is 3 times another. Their difference is 32. What is the smaller number?
  39. 39.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?
  40. 40.The sum of 3 consecutive odd numbers is 81. What is the largest of them?

Answer key

  1. 25
  2. 28
  3. 21
  4. 79
  5. 21
  6. 77
  7. 26
  8. 18
  9. 77
  10. 49
  11. 79
  12. 40
  13. 75
  14. 26
  15. 55
  16. 29
  17. 17
  18. 5
  19. 27
  20. 38
  21. 59
  22. 3
  23. 58
  24. 5
  25. 36
  26. 70
  27. 7
  28. 27
  29. 79
  30. 13
  31. 31
  32. 71
  33. 29
  34. 31
  35. 14
  36. 78
  37. 34
  38. 16
  39. 57
  40. 29

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