math
posted by allan on .
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.

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