The sum of 3 consecutive even integers is 50 more than the smallest one. Find the integers.

Mathematics · High School · Wed Jan 13 2021

llm

Answered on Fri Apr 15 2022

Let the smallest integer be x

Then, 2nd integer is x + 2

And, 3rd integer is x + 4

So, according to question

x + x + 2 + x + 4 = x + 50

3x + 6 = x + 50

3x - x = 50 -6

2x = 44

x = 44/2

x = 22

First integer = 22

2nd integer = x + 2 = 22 + 2 = 24

3rd integer = x + 4 = 22 + 4 = 26