The square of the sum of three consecutive numbers is 225. What are the numbers.

MMDCCC50m

MMDCCC50m

Answered question

2022-11-06

The square of the sum of three consecutive numbers is 225. What are the numbers.

Answer & Explanation

Neil Short

Neil Short

Beginner2022-11-07Added 17 answers

The square of the sum of three consecutive numbers is 225. Let the numbers be x, x + 1 and x + 2. The sum of the numbers is x + x + 1 + x + 2 = 3 x + 3
The square of the sum is ( 3 x + 3 ) 2 = 225
3 x + 3 = 225 3 x + 3 = 15 x + 1 = 5 x = 4
The three numbers are either {4, 5, 6} or {-6, -5, -4}

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