Question

There are 3 consecutive integers. The third integer subtracted from the sum of the first two integers equals 9. What is the middle integer ?

Answer 1

Answer:

The middle integer is 11.

Step-by-step explanation:

Hi there!

Let x be the smallest of the three consecutive integers.

Let x+1 and x+2 be the next consecutive integers. This makes x+1 the middle integer.

We're given that the third integer subtracted from the sum of the first two integers equals 9. We can use this to construct an equation:

$(x)+(x+1)-(x+2)=9$

Combine like terms:

$x+x+1-x-2=9\\x+x-x+1-2=9\\x-1=9\\x=10$

Therefore, the smallest integer is 10.

Because the middle integer is x+1, the middle integer is 11.

I hope this helps!