Question

The sum of three consecutive even numbers is $276$. Find the numbers.

• A. $96,92,94$
• B. $91,92,94$
• C. $90,94,98$
• D. $90,92,94$

Answer 1

The correct option is D $90,92,94$

Solution:- (D) $90,92,94$

Let the numbers be $2a,2a+2,2a+4$.

Now according to the question-

$2a+(2a+2)+(2a+4)=276$

$2a+2a+2+2a+4=276$

$6a+6=276$

$a+1=\frac{276}{6}$

$a=46-1=45$

Therefore, the numbers are-

$2a=2\times 45=90$

$2a+2=2\times 45+2=92$

$2a+4=2\times 45+4=94$

Hence the numbers are $90,92$ and $94$.