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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 523 · 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.One number is 3 times another. Their difference is 54. What is the smaller number?
  2. 2.The sum of 3 consecutive even numbers is 168. What is the smallest of them?
  3. 3.One number is 3 times another. Their difference is 72. What is the smaller number?
  4. 4.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 27. What is the number?
  5. 5.One number is 6 times another. Their difference is 130. What is the smaller number?
  6. 6.The sum of 5 consecutive numbers is 305. What is the smallest of them?
  7. 7.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?
  8. 8.The sum of 3 consecutive even numbers is 228. What is the smallest of them?
  9. 9.The sum of 3 consecutive odd numbers is 159. What is the smallest of them?
  10. 10.The sum of 5 consecutive numbers is 75. What is the smallest of them?
  11. 11.The sum of two numbers is 52 and their difference is 2. What is the larger number?
  12. 12.One number is 5 times another. Their difference is 132. What is the smaller number?
  13. 13.The sum of 3 consecutive numbers is 24. What is the smallest of them?
  14. 14.The sum of 5 consecutive numbers is 285. What is the smallest of them?
  15. 15.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?
  16. 16.The sum of 5 consecutive numbers is 255. What is the largest of them?
  17. 17.One number is 3 times another. Their difference is 80. What is the smaller number?
  18. 18.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 27. What is the number?
  19. 19.The sum of 3 consecutive odd numbers is 141. What is the largest of them?
  20. 20.One number is 2 times another. Their difference is 38. What is the smaller number?
  21. 21.The sum of 3 consecutive numbers is 114. What is the smallest of them?
  22. 22.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?
  23. 23.The sum of two numbers is 104 and their difference is 58. What is the larger number?
  24. 24.One number is 4 times another. Their difference is 63. What is the smaller number?
  25. 25.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  26. 26.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 36. What is the number?
  27. 27.The sum of two numbers is 54 and their difference is 48. What is the larger number?
  28. 28.One number is 5 times another. Their difference is 52. What is the smaller number?
  29. 29.The sum of 3 consecutive numbers is 96. What is the largest of them?
  30. 30.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 54. What is the number?
  31. 31.One number is 3 times another. Their difference is 42. What is the smaller number?
  32. 32.The sum of 4 consecutive numbers is 218. What is the largest of them?
  33. 33.The sum of two numbers is 91 and their difference is 35. What is the larger number?
  34. 34.One number is 2 times another. Their difference is 29. What is the smaller number?
  35. 35.The sum of two numbers is 29 and their difference is 5. What is the smaller number?
  36. 36.The sum of 4 consecutive even numbers is 108. What is the smallest of them?
  37. 37.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?
  38. 38.The sum of two numbers is 21 and their difference is 19. What is the smaller number?
  39. 39.The sum of two numbers is 90 and their difference is 80. What is the smaller number?
  40. 40.The sum of two numbers is 141 and their difference is 57. What is the larger number?

Answer key

  1. 27
  2. 54
  3. 36
  4. 47
  5. 26
  6. 59
  7. 14
  8. 74
  9. 51
  10. 13
  11. 27
  12. 33
  13. 7
  14. 55
  15. 45
  16. 53
  17. 40
  18. 69
  19. 49
  20. 38
  21. 37
  22. 36
  23. 81
  24. 21
  25. 23
  26. 15
  27. 51
  28. 13
  29. 33
  30. 28
  31. 21
  32. 56
  33. 63
  34. 29
  35. 12
  36. 24
  37. 57
  38. 1
  39. 5
  40. 99

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