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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 427 · 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 32. What is the larger number?
  2. 2.One number is 6 times another. Their difference is 90. What is the smaller number?
  3. 3.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?
  4. 4.One number is 5 times another. Their difference is 136. What is the smaller number?
  5. 5.The sum of two numbers is 32 and their difference is 18. What is the larger number?
  6. 6.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
  7. 7.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?
  8. 8.One number is 2 times another. Their difference is 12. What is the smaller number?
  9. 9.The sum of two numbers is 48 and their difference is 22. What is the larger number?
  10. 10.One number is 4 times another. Their difference is 102. What is the smaller number?
  11. 11.The sum of 3 consecutive odd numbers is 207. What is the smallest of them?
  12. 12.The sum of 4 consecutive odd numbers is 192. What is the smallest of them?
  13. 13.The sum of two numbers is 125 and their difference is 31. What is the smaller number?
  14. 14.The sum of two numbers is 113 and their difference is 15. What is the larger number?
  15. 15.One number is 6 times another. Their difference is 105. What is the smaller number?
  16. 16.The sum of two numbers is 70 and their difference is 8. What is the smaller number?
  17. 17.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 9. What is the number?
  18. 18.The sum of 4 consecutive odd numbers is 216. What is the smallest of them?
  19. 19.One number is 2 times another. Their difference is 7. What is the smaller number?
  20. 20.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?
  21. 21.One number is 6 times another. Their difference is 95. What is the smaller number?
  22. 22.The sum of 4 consecutive numbers is 214. What is the largest of them?
  23. 23.One number is 6 times another. Their difference is 140. What is the smaller number?
  24. 24.The sum of 5 consecutive numbers is 135. What is the smallest of them?
  25. 25.One number is 5 times another. Their difference is 64. What is the smaller number?
  26. 26.One number is 2 times another. Their difference is 8. What is the smaller number?
  27. 27.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?
  28. 28.The sum of two numbers is 87 and their difference is 23. What is the smaller number?
  29. 29.One number is 6 times another. Their difference is 110. What is the smaller number?
  30. 30.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?
  31. 31.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?
  32. 32.The sum of 3 consecutive odd numbers is 189. What is the largest of them?
  33. 33.The sum of two numbers is 44 and their difference is 34. What is the smaller number?
  34. 34.One number is 4 times another. Their difference is 60. What is the smaller number?
  35. 35.One number is 4 times another. Their difference is 96. What is the smaller number?
  36. 36.The sum of 3 consecutive numbers is 132. What is the largest of them?
  37. 37.The sum of 4 consecutive odd numbers is 104. What is the smallest of them?
  38. 38.The sum of two numbers is 147 and their difference is 7. What is the smaller number?
  39. 39.One number is 5 times another. Their difference is 28. What is the smaller number?
  40. 40.The sum of 4 consecutive numbers is 122. What is the smallest of them?

Answer key

  1. 41
  2. 18
  3. 89
  4. 34
  5. 25
  6. 37
  7. 58
  8. 12
  9. 35
  10. 34
  11. 67
  12. 45
  13. 47
  14. 64
  15. 21
  16. 31
  17. 56
  18. 51
  19. 7
  20. 69
  21. 19
  22. 55
  23. 28
  24. 25
  25. 16
  26. 8
  27. 15
  28. 32
  29. 22
  30. 34
  31. 79
  32. 65
  33. 5
  34. 20
  35. 32
  36. 45
  37. 23
  38. 70
  39. 7
  40. 29

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