Find two Numbers such that three times the smaller is one more than twice the larger and the smaller is one less than the larger

Question

I have no clue how to do this and have been looking around online.

Answer 1

In this problem, we have two variables. Let's call the larger number L and the smaller number S. Translate the sentences provided to equations.

For example, let's say : two times the smaller number is three less than twice the larger number.

Numerically, this is:

2*s = 2L-3

For this problem, you will have two equations. You can then use substitution to then solve for the answer.