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 sum of two numbers is 90 and their difference is 20. What is the larger number?
- 2.The sum of 3 consecutive odd numbers is 27. What is the largest of them?
- 3.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?
- 4.The sum of two numbers is 153 and their difference is 7. What is the larger number?
- 5.The sum of 3 consecutive odd numbers is 153. What is the largest of them?
- 6.One number is 2 times another. Their difference is 19. What is the smaller number?
- 7.The sum of 3 consecutive numbers is 120. What is the smallest of them?
- 8.The sum of 3 consecutive odd numbers is 237. What is the largest of them?
- 9.The sum of two numbers is 60 and their difference is 36. What is the larger number?
- 10.The sum of 3 consecutive numbers is 123. What is the smallest of them?
- 11.The sum of 3 consecutive numbers is 144. What is the smallest of them?
- 12.One number is 5 times another. Their difference is 124. What is the smaller number?
- 13.The sum of 4 consecutive numbers is 62. What is the smallest of them?
- 14.The sum of 3 consecutive numbers is 27. What is the smallest of them?
- 15.The sum of 3 consecutive numbers is 159. What is the smallest of them?
- 16.The sum of two numbers is 102 and their difference is 12. What is the larger number?
- 17.The sum of 5 consecutive numbers is 195. What is the largest of them?
- 18.One number is 2 times another. Their difference is 27. What is the smaller number?
- 19.The sum of 4 consecutive numbers is 194. What is the largest of them?
- 20.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?
- 21.The sum of two numbers is 85 and their difference is 45. What is the larger number?
- 22.The sum of 3 consecutive numbers is 165. What is the smallest of them?
- 23.The sum of 5 consecutive numbers is 155. What is the smallest of them?
- 24.The sum of two numbers is 155 and their difference is 41. What is the larger number?
- 25.The sum of 3 consecutive numbers is 99. What is the smallest of them?
- 26.The sum of 4 consecutive even numbers is 308. What is the smallest of them?
- 27.The sum of 4 consecutive numbers is 110. What is the largest of them?
- 28.The sum of 4 consecutive numbers is 46. What is the largest of them?
- 29.The sum of 3 consecutive odd numbers is 177. What is the smallest of them?
- 30.The sum of two numbers is 65 and their difference is 17. What is the smaller number?
- 31.One number is 2 times another. Their difference is 21. What is the smaller number?
- 32.The sum of 5 consecutive numbers is 45. What is the smallest of them?
- 33.The sum of 3 consecutive even numbers is 240. What is the smallest of them?
- 34.The sum of 5 consecutive numbers is 150. What is the smallest of them?
- 35.One number is 4 times another. Their difference is 42. What is the smaller number?
- 36.One number is 4 times another. Their difference is 15. What is the smaller number?
- 37.The sum of 4 consecutive numbers is 218. What is the largest of them?
- 38.One number is 5 times another. Their difference is 96. What is the smaller number?
- 39.The sum of 3 consecutive odd numbers is 129. What is the largest of them?
- 40.The sum of 4 consecutive odd numbers is 288. What is the smallest of them?
Answer key
- 55
- 11
- 34
- 80
- 53
- 19
- 39
- 81
- 48
- 40
- 47
- 31
- 14
- 8
- 52
- 57
- 41
- 27
- 50
- 57
- 65
- 54
- 29
- 98
- 32
- 74
- 29
- 13
- 57
- 24
- 21
- 7
- 78
- 28
- 14
- 5
- 56
- 24
- 45
- 69
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