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

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Senior RC Moderator
Joined: 02 Nov 2016
Posts: 5052
GPA: 3.39
The ten’s digit of a two-digit number is twice the unit’s digit. Rever  [#permalink]

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01 Jan 2017, 12:04
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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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Senior Manager
Joined: 13 Oct 2016
Posts: 352
GPA: 3.98
Re: The ten’s digit of a two-digit number is twice the unit’s digit. Rever  [#permalink]

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01 Jan 2017, 12:20
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1
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
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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