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## Answers

'y' be the denominator

cross multiplying you'll have

4y = 5x

y = 5/4 x ------equation 1

since the numerator and denominator combined is 15 then the equation will be

x + y =15 ----equation 2

substitute equation 1 to equation 2

x + y = 15

x + 5/4 x = 15

4x + 5x = 15(4)

9x = 60

**x = 20/3 ---numerator**

substitute x=20/3 to equation 1

y = 5/4 x

y = 5/4 (20/3)

y = 100/12

**y = 25/3 ---denominator**

note that there will be no whole number( x and y) that could satisfy the problem. the numerator would be 20/3 and the denominator would be 25/3.. you won't be reducing that one since if you do, x+y=15 won't be satisfied