Number Problems Worksheet
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).
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- 1.One number is 3 times another. Their difference is 14. What is the smaller number?
- 2.The sum of 3 consecutive numbers is 63. What is the smallest of them?
- 3.One number is 2 times another. Their difference is 29. What is the smaller number?
- 4.The sum of 3 consecutive odd numbers is 159. What is the largest of them?
- 5.The sum of 4 consecutive numbers is 230. What is the smallest of them?
- 6.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?
- 7.The sum of 4 consecutive numbers is 166. What is the smallest of them?
- 8.The sum of 3 consecutive even numbers is 78. What is the largest of them?
- 9.The sum of 4 consecutive even numbers is 132. What is the smallest of them?
- 10.The sum of two numbers is 92 and their difference is 12. What is the smaller number?
- 11.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?
- 12.The sum of 4 consecutive even numbers is 44. What is the largest of them?
- 13.One number is 3 times another. Their difference is 68. What is the smaller number?
- 14.The sum of 3 consecutive numbers is 33. What is the smallest of them?
- 15.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?
- 16.The sum of two numbers is 117 and their difference is 41. What is the smaller number?
- 17.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?
- 18.The sum of two numbers is 65 and their difference is 37. What is the larger number?
- 19.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?
- 20.The sum of 3 consecutive odd numbers is 153. What is the smallest of them?
- 21.The sum of 4 consecutive numbers is 190. What is the smallest of them?
- 22.The sum of two numbers is 71 and their difference is 29. What is the larger number?
- 23.The sum of two numbers is 54 and their difference is 10. What is the larger number?
- 24.The sum of two numbers is 14 and their difference is 6. What is the smaller number?
- 25.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?
- 26.The sum of 4 consecutive odd numbers is 144. What is the smallest of them?
- 27.The sum of two numbers is 169 and their difference is 7. What is the larger number?
- 28.The sum of two numbers is 30 and their difference is 2. What is the smaller number?
- 29.The sum of 4 consecutive even numbers is 188. What is the largest of them?
- 30.The sum of two numbers is 94 and their difference is 32. What is the larger number?
- 31.The sum of two numbers is 26 and their difference is 2. What is the smaller number?
- 32.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
- 33.The sum of 5 consecutive numbers is 35. What is the smallest of them?
- 34.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?
- 35.One number is 3 times another. Their difference is 12. What is the smaller number?
- 36.The sum of two numbers is 25 and their difference is 13. What is the larger number?
- 37.The sum of two numbers is 133 and their difference is 3. What is the smaller number?
- 38.The sum of two numbers is 21 and their difference is 5. What is the smaller number?
- 39.The sum of 3 consecutive numbers is 153. What is the largest of them?
- 40.The sum of two numbers is 102 and their difference is 58. What is the smaller number?
Answer key
- 7
- 20
- 29
- 55
- 56
- 78
- 40
- 28
- 30
- 40
- 46
- 14
- 34
- 10
- 34
- 38
- 67
- 51
- 79
- 49
- 46
- 50
- 32
- 4
- 13
- 33
- 88
- 14
- 50
- 63
- 12
- 35
- 5
- 68
- 6
- 19
- 65
- 8
- 52
- 22
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