GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 20 Oct 2018, 05:53

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

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

Author Message
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 50004
If x and y are positive integers, what is the value of x?  [#permalink]

Show Tags

01 Oct 2018, 04:50
1
00:00

Difficulty:

45% (medium)

Question Stats:

57% (01:29) correct 43% (01:21) wrong based on 35 sessions

HideShow timer Statistics

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

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

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

Show Tags

01 Oct 2018, 04:59
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? &nbs [#permalink] 01 Oct 2018, 04:59
Display posts from previous: Sort by