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 44 and their difference is 12. What is the larger number?
- 2.The sum of 4 consecutive odd numbers is 224. What is the largest of them?
- 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.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?
- 5.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 54. What is the number?
- 6.One number is 2 times another. Their difference is 30. What is the smaller number?
- 7.The sum of 3 consecutive even numbers is 42. What is the largest of them?
- 8.The sum of 4 consecutive numbers is 154. What is the smallest of them?
- 9.The sum of 4 consecutive odd numbers is 264. What is the smallest of them?
- 10.The sum of 4 consecutive even numbers is 332. What is the largest of them?
- 11.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?
- 12.The sum of 4 consecutive odd numbers is 168. What is the smallest of them?
- 13.The sum of 3 consecutive even numbers is 216. What is the smallest of them?
- 14.The sum of two numbers is 69 and their difference is 57. What is the smaller number?
- 15.The sum of 4 consecutive odd numbers is 64. What is the smallest of them?
- 16.The sum of 4 consecutive numbers is 66. What is the smallest of them?
- 17.One number is 6 times another. Their difference is 160. What is the smaller number?
- 18.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?
- 19.The sum of 4 consecutive numbers is 90. What is the largest of them?
- 20.The sum of two numbers is 58 and their difference is 30. What is the smaller number?
- 21.The sum of two numbers is 126 and their difference is 18. What is the smaller number?
- 22.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 27. What is the number?
- 23.The sum of 4 consecutive numbers is 82. What is the largest of them?
- 24.One number is 2 times another. Their difference is 29. What is the smaller number?
- 25.The sum of 3 consecutive numbers is 93. What is the largest of them?
- 26.The sum of 3 consecutive numbers is 171. What is the largest of them?
- 27.The sum of 4 consecutive odd numbers is 176. What is the smallest of them?
- 28.The sum of 3 consecutive odd numbers is 81. What is the largest of them?
- 29.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?
- 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.The sum of 3 consecutive odd numbers is 69. What is the smallest of them?
- 32.The sum of 3 consecutive even numbers is 222. What is the smallest of them?
- 33.One number is 5 times another. Their difference is 72. What is the smaller number?
- 34.One number is 4 times another. Their difference is 78. What is the smaller number?
- 35.The sum of 3 consecutive numbers is 141. What is the largest of them?
- 36.The sum of 4 consecutive numbers is 230. What is the largest of them?
- 37.The sum of 3 consecutive even numbers is 24. What is the largest of them?
- 38.One number is 2 times another. Their difference is 13. What is the smaller number?
- 39.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?
- 40.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 18. What is the number?
Answer key
- 28
- 59
- 89
- 46
- 28
- 30
- 16
- 37
- 63
- 86
- 13
- 39
- 70
- 6
- 13
- 15
- 32
- 59
- 24
- 14
- 54
- 25
- 22
- 29
- 32
- 58
- 41
- 29
- 48
- 34
- 21
- 72
- 18
- 26
- 48
- 59
- 10
- 13
- 57
- 24
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