Problema Solution

the difference between two numbers is 32. 5 times the smaller is equal to 8 more than the larger. what are the numbers?

Answer provided by our tutors

let 'x' and 'y' be the numbers and x>y


the difference between two numbers is 32


x - y = 32


5 times the smaller is equal to 8 more than the larger


5y = 8 + x


by solving the system of equations


x - y = 32

5y = 8 + x


we find


x = 42


y = 10


the numbers are 42 and 10.