The product of three integers is 90. The second number is twice the first number. The third number two more than the first number. What are the three numbers?

1 Answer
Oct 25, 2017

22,44,24

Explanation:

We assume the first number to be x.
First number = x

"twice the first number"
Second number = 2*"first number"
Second number = 2*x

"two more than the first number"
Second number = "first number"+2
Third number = x+2

The product of three integers is 90.
"first number" + "second number" + "third number" = 90
(x) + (2x) + (x+2) = 90

Now we solve for x
4x + 2 = 90
4x = 88
x=22

Now that we know what x is, we can plug it in to find each individual number when x=22
First = x=22
Second = 2x=2*22=44
Third = x+2==22+2=24