The sum of two numbers is 92 their difference is 20 find the numbers?

Answer 1

Let the two numbers be m and n

From the information given, we have two

equation in two unknowns. We can solve

this system using substitution.

Here are the two equations.

m+n=92

m-n=20

Now to use substitution, we must

rewrite the second equation as m=n+20 and substitute it into the first

n+n+20=92 or

2n=72 which tells us

n=36

that means m=92-36 or 56.

So the numbers are 36 and 56.

Let's check

36+56=92

56-36=20