One number is 5 more than another number. Four times the larger number plus 3 times the smaller is 97. find the numbers. Show your work.

Answer 1

So you need to make two equations, and then use substitution.

I used A for the larger number and B for the smaller:

A=B+5
4A+3B=97

Then you plug in (B+5) for A in the second equation...

4(B+5)+3B=97
4B+20+3B=97
7B+20=97
7B=77
B=11

A=5+11
A=16