Number Problem 15

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Problem: The sum of four consecutive integers is 26. What is their product?

Solution: Let the consecutive integers be x, (x + 1), (x + 2) and (x + 3). Their sum is 4x + 6

Given, 4x + 6 = 26

⇒ 4x = 26 – 6 = 20

⇒ x = 20/4 = 5

∴ The numbers are 5, 6, 7, and 8

Their product is 5 X 6 X 7 X 8 = 1680

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