Question

if the lesser of two consecutive even integers is seven more than half the greater, what are the two integers?

Answer 1

Answer: 16 and 18

Step-by-step explanation:

Let the lesser of two consecutive even integers is x.

Hence, the bigger of two consecutive even integers is (x+2).

$\displaystyle\\x-\frac{x+2}{2}=7$

Multiply both parts of the equation by 2:

$x(2)-(x+2)=7(2)\\2x-x-2=14\\x-2=14\\x-2+2=14+2\\x=16\\x+2=16+2\\x+2=18$