One number is five more than another. Five times the smaller equals four times the larger. Find the numbers

Question

Have a math test tomorrow don't know how to do this question on the review. :( plz help due tm

Answer 1

Hi Jenna,

We know: 5x=4y where y=5+x

So substitute 5+x in for y in the first equation to get: 5x=4(5+x)

Solve for x.

Use either equation to solve for y.

Answer 2

s = smaller number

s + 5 = larger number

 

5s = 4(s + 5)

5s = 4s + 20

s = 20

s + 5 = 25