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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 416 · 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 61 and their difference is 21. What is the smaller number?
  2. 2.The sum of 5 consecutive numbers is 175. What is the smallest of them?
  3. 3.The sum of two numbers is 123 and their difference is 73. What is the smaller number?
  4. 4.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?
  5. 5.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?
  6. 6.The sum of 4 consecutive odd numbers is 200. What is the largest of them?
  7. 7.The sum of 3 consecutive even numbers is 234. What is the largest of them?
  8. 8.One number is 6 times another. Their difference is 190. What is the smaller number?
  9. 9.The sum of 3 consecutive odd numbers is 153. What is the smallest of them?
  10. 10.The sum of 4 consecutive odd numbers is 200. What is the smallest of them?
  11. 11.The sum of two numbers is 74 and their difference is 18. What is the smaller number?
  12. 12.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?
  13. 13.The sum of 3 consecutive even numbers is 54. What is the largest of them?
  14. 14.One number is 2 times another. Their difference is 13. What is the smaller number?
  15. 15.The digits of a two-digit number add up to 3. When the digits swap places, the number goes up by 9. What is the number?
  16. 16.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?
  17. 17.The sum of 5 consecutive numbers is 305. What is the smallest of them?
  18. 18.One number is 3 times another. Their difference is 72. What is the smaller number?
  19. 19.The sum of two numbers is 76 and their difference is 6. What is the smaller number?
  20. 20.The sum of 3 consecutive odd numbers is 63. What is the smallest of them?
  21. 21.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 54. What is the number?
  22. 22.The sum of 5 consecutive numbers is 180. What is the largest of them?
  23. 23.One number is 4 times another. Their difference is 18. What is the smaller number?
  24. 24.The sum of 5 consecutive numbers is 140. What is the smallest of them?
  25. 25.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?
  26. 26.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?
  27. 27.One number is 5 times another. Their difference is 56. What is the smaller number?
  28. 28.The sum of two numbers is 64 and their difference is 16. What is the smaller number?
  29. 29.The sum of two numbers is 32 and their difference is 8. What is the smaller number?
  30. 30.The sum of 3 consecutive odd numbers is 117. What is the smallest of them?
  31. 31.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 18. What is the number?
  32. 32.The sum of 4 consecutive numbers is 70. What is the largest of them?
  33. 33.The sum of 3 consecutive even numbers is 90. What is the smallest of them?
  34. 34.The sum of two numbers is 85 and their difference is 11. What is the smaller number?
  35. 35.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?
  36. 36.The sum of 4 consecutive odd numbers is 120. What is the smallest of them?
  37. 37.One number is 6 times another. Their difference is 170. What is the smaller number?
  38. 38.The sum of two numbers is 149 and their difference is 31. What is the larger number?
  39. 39.The sum of two numbers is 122 and their difference is 26. What is the smaller number?
  40. 40.The sum of two numbers is 59 and their difference is 21. What is the smaller number?

Answer key

  1. 20
  2. 33
  3. 25
  4. 69
  5. 89
  6. 53
  7. 80
  8. 38
  9. 49
  10. 47
  11. 28
  12. 45
  13. 20
  14. 13
  15. 12
  16. 29
  17. 59
  18. 36
  19. 35
  20. 19
  21. 39
  22. 38
  23. 6
  24. 26
  25. 16
  26. 57
  27. 14
  28. 24
  29. 12
  30. 37
  31. 68
  32. 19
  33. 28
  34. 37
  35. 79
  36. 27
  37. 34
  38. 90
  39. 48
  40. 19

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