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If 2^x = 8^(y+1) and 9^y = 3^(x−9), then x + y equals

2056Medium DSSSB TGT Computer Science 0 replies

If 2^x = 8^(y+1) and 9^y = 3^(x−9), then x + y equals

  • A21
  • B24
  • C30
  • D27
Correct answer: D

Explanation

From the first, x = 3(y + 1); from the second, 2y = x − 9. Solving gives y = 6 and x = 21, so x + y = 27.

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