Question

Find three consecutive positive even integers whose sum is $90$.

• A. $28,30$ and $32$
• B. $28,30$ and $37$
• C. $28,98$ and $32$
• D. $40,30$ and $32$

Answer 1

Answer: (A)

$28,30$ and $32$

Let the numbers be $x$ ,$x+2$ and $x+4$

According to the question

$x+x+2+x+4=90$

$3x+6=90$

$3x=84$

$x=28$

$x+2=28+2=30$

$x+4=28+4=32$

So, the three consecutive positive even integers are $28,30$ and $32$