One number is 5 more than another. Five times the smaller equals 4 times the larger. Find the numbers

The value of x, the larger number, is equal to 25. The value of y, the smaller number, is equal to 20.

x = 5 + y

4x = 5y

Because we already have a value for x, we can solve for the exact value of y.

4 (5 + y) = 5y

Distributive property.

20 + 4y = 5y

Subtract 4y from both sides.

y = 20

Now that we have the exact value of y, we can solve for x.

x = 5 + 20

x = 25