Question

The greater of two consecutive integers is nine more than twice the lesser integer. What are the two integers?

Answer 1

-7 and -8

This is the answer

Answer 2

-7 and -8

Explanation:

Generally with this kind of problem it is helpful to construct equations representing the words.

Let's let:

Lesser integer = X

Greater integer = Y

The integers are consecutive, meaning that they are only one integer (number) apart. So,

Y = X+1

From the problem, we know that

Y = 9 + 2X

Now, we can sub in the equation from above.

(X + 1) = 9 + 2X

We now solve for X:

1 - 9 = 2X - X

-8 = X

Y = -8 + 1

Y = -7