The difference of two numbers is 0.77. if the larger number is increased 5 times, then the difference becomes 77. find the numbers.

For this case, the first thing we must do is define variables.

We have then:

x = larger number

y = smaller number

By writing the system of equations we have:

x-y = 0.77

5x-y = 77

Solving the system we have:

x = 19.0575

y = 18.2875

Answer:

The numbers are:

x = 19.0575

y = 18.2875