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If x^yxxy^x=72 , then find the sum of x ...

If `x^yxxy^x=72` , then find the sum of x and y where x and y are positive integers `(x ne 1 and y ne 1)`.

A

12

B

10

C

5

D

7

Text Solution

Verified by Experts

The correct Answer is:
C
Given,
`x^yxxy^x=72`
Let us factorise 72.
`72=2^3xx3^2`
`therefore x=2,y=3 or x=3,y=2`
`therefore x+y=2+3=5` .
Hence of correct option is (c).
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