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Algebraic Identities

If 4x-y=64 an...

Question

If 4 $^{(x - y)}$ = 64 and 5 $^{(x + y)}$ = 3125, then x is equal to

A

3

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B

2

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C

5

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D

4

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E

None of these

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Solution

The correct option is D 4
$4^{(x - y)} = 64, 4^{(x - y)} = 4^{3} x - y = 3 (1 5^{(x + y)} = 3125, x + y = 5^{5} x + y = 5 (2$
From (1 and (2
2x = 8
x = 4

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