Question

The sum of three consecutive dven number is 252. what is the smallest and the largest number.

Answer 1

Heya!!

Thanks for asking the question!

Answer : 82 and 86

Explanation :

Let the smallest even integer be x.

Ist even integer = x (3)

2nd even integer = x +2. (2)

3rd even integer = x + 2 + 2 = x + 4. (1)

Given,

(3)+(2)+(1) = 252

x + x + 2 + x + 4 = 252

3x + 6 = 252

3x = 246

x = 82

So the smallest even integer is x i.e 82 and larger even integer is x + 4 i.e. 86.

Hope it helps you.