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The ten’s digit of a two-digit number is twice the unit’s digit. Rever

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Joined: 02 Nov 2016
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The ten’s digit of a two-digit number is twice the unit’s digit. Rever  [#permalink]

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New post 01 Jan 2017, 12:04
1
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

83% (01:11) correct 17% (01:35) wrong based on 29 sessions

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The ten’s digit of a two-digit number is twice the unit’s digit. Reversing the digits yields a
new number that is 27 less than the original number. Which one of the following is the
original number?

(A) 12
(B) 21
(C) 43
(D) 63
(E) 83

Source: Nova GMAT
Difficulty Level: 550


The ten’s digit must be twice the unit’s digit. This eliminates (A), (C), and (E). Now reversing the
digits in choice (B) yields 12. But 21 – 12 ≠ 27 This eliminates (B). Hence, by process of
elimination, the answer is (D). (63 – 36 = 27.)

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Joined: 13 Oct 2016
Posts: 352
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Re: The ten’s digit of a two-digit number is twice the unit’s digit. Rever  [#permalink]

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New post 01 Jan 2017, 12:20
2
1
SajjadAhmad wrote:
The ten’s digit of a two-digit number is twice the unit’s digit. Reversing the digits yields a
new number that is 27 less than the original number. Which one of the following is the
original number?

(A) 12
(B) 21
(C) 43
(D) 63
(E) 83

The ten’s digit must be twice the unit’s digit. This eliminates (A), (C), and (E). Now reversing the
digits in choice (B) yields 12. But 21 – 12 ≠ 27 This eliminates (B). Hence, by process of
elimination, the answer is (D). (63 – 36 = 27.)


20x + x = 10x + 2x + 27

21x = 12x + 27

x = 3

units digit - 3, tens digit - 6

63

D
GMAT Club Bot
Re: The ten’s digit of a two-digit number is twice the unit’s digit. Rever   [#permalink] 01 Jan 2017, 12:20
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