SOLUTION: The sum of two numbers is 27. If the smaller is divided by the larger number, the fraction reduces to 4/5. Find the two numbers.

Question 253772: The sum of two numbers is 27. If the smaller is divided by the larger number, the fraction reduces to 4/5. Find the two numbers.
Answer by palanisamy(496) (Show Source): You can put this solution on YOUR website!
Let the two numbers be x and y.
Given, their sum x+y = 27 ...(1)
If the smaller is divided by the larger number, the fraction reduces to 4/5
x/y = 4/5
5x = 4y
5x-4y = 0 ...(2)
(1)*4=> 4x+4y = 108 ...(3)
(2)+(3)=> 9x = 108
x = 108/9
x = 12
Substituting in (1), we get
12+y = 27
y = 27-12
y = 15
So the numbers are 12 and 15
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