Question

One number is two less than a second number. Twice the second number is nine less than three times the first find the two numbers.

Answer 1

13 and 15

Explanation:

We set up equations.

X=Y-2

2Y=3X-9

We change X=Y-2 into Y=X+2.

Substituting for Y, we get 2Y=2X+4=3X-9

We now solve for x.

2X+4=3X-9 |-2X

4=X-9 |+9

13=X.

X=13

Substituting for Y, we get that Y =15 from the equation Y=X+2.

So, X=13 and Y=15