Problema Solution

One positive number is one-fifth of another number. The difference between the two numbers is 204, find the numbers.

the two numbers in increasing order are____and____

Answer provided by our tutors

Let 'x' and 'y' are the positive number we need to find.


x = y/5 (one positive number is one-fifth of another number)



y - x = 204 (the difference between the two numbers is 204 and since x = y/5 > y)


By solving the system


x = y/5

y - x = 204


y - y/5 = 204


y = 5*204/4


y = 255


x = 255/5 = 51


the two numbers in increasing order are 51 and 255