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.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?
- 2.One number is 4 times another. Their difference is 9. What is the smaller number?
- 3.The sum of 3 consecutive odd numbers is 237. What is the largest of them?
- 4.The sum of 3 consecutive numbers is 162. What is the smallest of them?
- 5.One number is 4 times another. Their difference is 96. What is the smaller number?
- 6.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 72. What is the number?
- 7.The sum of 5 consecutive numbers is 120. What is the largest of them?
- 8.The sum of two numbers is 91 and their difference is 33. What is the larger number?
- 9.The sum of 3 consecutive numbers is 81. What is the smallest of them?
- 10.The sum of 4 consecutive numbers is 82. What is the smallest of them?
- 11.The sum of 3 consecutive numbers is 75. What is the smallest of them?
- 12.One number is 2 times another. Their difference is 16. What is the smaller number?
- 13.The sum of two numbers is 40 and their difference is 34. What is the larger number?
- 14.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?
- 15.The sum of 3 consecutive numbers is 78. What is the smallest of them?
- 16.The sum of 5 consecutive numbers is 165. What is the smallest of them?
- 17.The sum of 4 consecutive numbers is 118. What is the largest of them?
- 18.The sum of 3 consecutive numbers is 27. What is the largest of them?
- 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.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?
- 21.The sum of 3 consecutive even numbers is 120. What is the smallest of them?
- 22.The sum of 4 consecutive odd numbers is 336. What is the smallest of them?
- 23.The sum of two numbers is 17 and their difference is 3. What is the larger number?
- 24.The sum of two numbers is 67 and their difference is 25. What is the smaller number?
- 25.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?
- 26.The sum of 4 consecutive numbers is 62. What is the largest of them?
- 27.One number is 4 times another. Their difference is 111. What is the smaller number?
- 28.The sum of 3 consecutive numbers is 21. What is the smallest of them?
- 29.The sum of two numbers is 71 and their difference is 9. What is the larger number?
- 30.The sum of 3 consecutive even numbers is 150. What is the largest of them?
- 31.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?
- 32.The sum of 4 consecutive odd numbers is 144. What is the largest of them?
- 33.The sum of 4 consecutive even numbers is 172. What is the largest of them?
- 34.The sum of 3 consecutive even numbers is 36. What is the smallest of them?
- 35.The sum of 5 consecutive numbers is 215. What is the largest of them?
- 36.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?
- 37.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?
- 38.The sum of 3 consecutive numbers is 153. What is the smallest of them?
- 39.The sum of 3 consecutive odd numbers is 243. What is the largest of them?
- 40.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
Answer key
- 89
- 3
- 81
- 53
- 32
- 19
- 26
- 62
- 26
- 19
- 24
- 16
- 37
- 57
- 25
- 31
- 31
- 10
- 27
- 35
- 38
- 81
- 10
- 21
- 69
- 17
- 37
- 6
- 40
- 52
- 46
- 39
- 46
- 10
- 45
- 59
- 78
- 50
- 83
- 49
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