Algebra (equations and formulae)

The larger of two numbers is four times the smaller, and their sum is 85. Find the two numbers.

I need a brief working out...

Expert Answers

An illustration of the letter 'A' in a speech bubbles

Let the two numbers be 'x' & 'y'

Now, as per the question 

y = 4x ............(1)

Also, x+y = 85......(2)

Using the value of y from (1) in (2) we get

x + 4x = 85

or, 5x = 85 

or, x = 17

Thus, y = 4x = 4*17 = 68

Hence the two numbers x & y are 17,68

See eNotes Ad-Free

Start your 48-hour free trial to get access to more than 30,000 additional guides and more than 350,000 Homework Help questions answered by our experts.

Get 48 Hours Free Access
Approved by eNotes Editorial