Problema Solution

Considering two unequal numbers. If 8 times the smaller number is subtracted from 8 times the larger number, the difference is 30. The larger number is 13/8 of the smaller. Find the two numbers. They are not necessarily integer values.

Answer provided by our tutors

let 'x' represent the smaller number and let 'y' represent the larger number


8y-8x = 30

y = (13/8)x

solving this system for 'x' and 'y' we have:

x = 6

y = 9.75