The ratio of two numbers is 7 to 4.The difference of the two numbers is 24. What are the numbers?

Answer 1

Let the two numbers be X and Y.

X/Y = 7/4

X - Y = 24

Rearrange the first equation to get X = 7Y/4. Then substitute this into the second equation to get

X - Y = 24

7Y/4 - Y = 24

3Y/4 = 24

3Y = 96

Y = 32

Then find X by plugging Y = 32 into the second equation:

X - Y = 24

X - 32 = 24

X = 56