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If u represents the tens' digit of a certain number and t represents

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Math Expert
Joined: 02 Sep 2009
Posts: 47037
If u represents the tens' digit of a certain number and t represents [#permalink]

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01 Mar 2018, 23:08
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Difficulty:

5% (low)

Question Stats:

84% (00:21) correct 16% (00:29) wrong based on 81 sessions

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If u represents the tens' digit of a certain number and t represents the units' digit, then the number with the digits reversed can be represented by

(A) 10t + u

(B) 10u + t

(C) tu

(D) ut

(E) t + u

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Joined: 22 Aug 2013
Posts: 1273
Location: India
Re: If u represents the tens' digit of a certain number and t represents [#permalink]

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01 Mar 2018, 23:43
Bunuel wrote:
If u represents the tens' digit of a certain number and t represents the units' digit, then the number with the digits reversed can be represented by

(A) 10t + u

(B) 10u + t

(C) tu

(D) ut

(E) t + u

Lets say u=5, and t=1. So the number is 51.
Reverse number = 15.
So with u=5, t=1, if we substitute in the options, we should get an answer of 15.

Its easy to see that in option A, 10*1 + 5 = 15.
In no other option is the number 15.

Manager
Joined: 31 Jan 2018
Posts: 72
Re: If u represents the tens' digit of a certain number and t represents [#permalink]

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25 Apr 2018, 12:19
Given u represents the tens' digit and t represents the unit digit,
the Original number will be 10u + t, now the digit has interchanged their places, t becomes tens' digit and u becomes the unit digit
hence the new number (after interchange) will be 10t + u.
Manager
Joined: 24 Aug 2016
Posts: 224
Location: India
Concentration: Entrepreneurship, Operations
Schools: ISB, IIMC , XLRI
GMAT 1: 540 Q49 V16
GMAT 2: 640 Q47 V31
GPA: 3.4
Re: If u represents the tens' digit of a certain number and t represents [#permalink]

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25 Apr 2018, 20:04
Bunuel wrote:
If u represents the tens' digit of a certain number and t represents the units' digit, then the number with the digits reversed can be represented by

(A) 10t + u

(B) 10u + t

(C) tu

(D) ut

(E) t + u

Given : u represents the tens' digit of a certain number and t represents the units' digit; Hence, currently the number is $$10u+t$$
If the digits are reversed , t will be the tens' digit and u will be the units' digit. Thus the number will be $$10t+u$$..............................Hence A
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Please let me know if I am going in wrong direction.
Thanks in appreciation.

Re: If u represents the tens' digit of a certain number and t represents   [#permalink] 25 Apr 2018, 20:04
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