Question

Seven times the smaller

Answer 1

Given:

Seven times the smaller  of two consecutive even  integers  is the same as  -300 minus 4 times the  larger integer.

To find:

The integers .

Solution:

Let the smaller even integer be x.

So, larger even integer is x+2 because they are consecutive even  integers.

Seven times the smaller  integer = 7x

-300 minus 4 times the  larger integer = -300-4(x+2)

Now,

$7x=-300-4(x+2)$

$7x=-300-4x-8$

$7x+4x=-308$

$11x=-308$

Divide both sides by 11.

$x=\dfrac{-308}{11}$

$x=-28$

So, the smaller even integer is -28.

$x+2=-28+2=-26$

So, the larger even integer is -26.