SOLUTION: Two numbers have a sum of 36, a difference of 24, and a product of 180. Dividing the greater one by the lesser one gives a quotient of 5. What are the numbers. I keep thinking

Question 304428: Two numbers have a sum of 36, a difference of 24, and a product of 180. Dividing the greater one by the lesser one gives a quotient of 5. What are the numbers.
I keep thinking it has to do with the numbers 36 & 5 but they don't fit all the situations.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Two numbers have a sum of 36, a difference of 24, and a product of 180. Dividing the greater one by the lesser one gives a quotient of 5. What are the numbers.

let the numbers be x & y
x+y=36
x-y=24
x+y+x-y= 60
2x=60
x=30
the other number = 6
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