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# If x and y are positive integers, what is the value of x?

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Math Expert
Joined: 02 Sep 2009
Posts: 52902
If x and y are positive integers, what is the value of x?  [#permalink]

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01 Oct 2018, 03:50
1
00:00

Difficulty:

55% (hard)

Question Stats:

54% (01:27) correct 46% (01:13) wrong based on 48 sessions

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If x and y are positive integers, what is the value of x?

(1) $$3^x + 5^y = 134$$
(2) y = 3

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Intern
Joined: 21 Nov 2016
Posts: 37
Re: If x and y are positive integers, what is the value of x?  [#permalink]

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01 Oct 2018, 03:59
Given that x and y are positive integers.
We are required to find the value of x.
from statement 1, 3^x+5^y = 134.
5^any positive integer will deliver the units digit as 5.
So adding what no. in the units digit to 5 in the units digit of 5^y will give units digit of 134. (That is 4)??
5 + 9 = 4
So, 3^x must be 9 and 5^y must be 125
Implies x = 2 and y = 3
Statement 1 is sufficient.
Statement 2 says y =3 , but there's no relation to x .
So, statement 2 is insufficient.
Re: If x and y are positive integers, what is the value of x?   [#permalink] 01 Oct 2018, 03:59
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