The sum of two numbers is 91, and the greater is 6 times the less. Find the numbers

Answer 1

Let's write A and B for our two numbers that we'd like to find.

We know that

A + B = 91

6A = B

Then we can substitute B for 6A in the first equation

A + 6A = 91

7A = 91

A = 13

Now, use this value for A to find B:

B = 6A

B = 6(13) = 78

Checking our work, we see

78 + 13 = 91

and

13(6) = 78.