One positive number is one-fifth of another number. The difference between the two numbers is 192, f

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One positive number is one-fifth of another number. The difference between the two numbers is 192, find the numbers.

Let the first number be x and the second number be y. We're given two equations:

1. x = y/5
2. x + y = 192

Substitute equation 1 into equation 2:
y/5 + y = 192

Since 1 equals 5/5, we rewrite our equation like this:
y/5 = 5y/5 = 192

We have fractions with like denominators, so we add the numerators:
(1 + 5)y/5 = 192
6y/5 = 192

Type this equation into our search engine, and we get:
y = 160

Substitute this value into equation 1:
x = 160/5
x = 32