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Senior RC Moderator V
Joined: 02 Nov 2016
Posts: 4443
GPA: 3.39
The digits of a three-digit number add up to 18. If the ten’s digit is  [#permalink]

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Difficulty:   15% (low)

Question Stats: 86% (01:31) correct 14% (01:50) wrong based on 93 sessions

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The digits of a three-digit number add up to 18. If the ten’s digit is twice the hundred’s digit and the hundred’s digit is 1/3 the unit’s digit, what is the number?

(A) 246
(B) 369
(C) 531
(D) 855
(E) 893

Source: Nova GMAT

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GMAT Club Legend  V
Joined: 12 Sep 2015
Posts: 4074
Re: The digits of a three-digit number add up to 18. If the ten’s digit is  [#permalink]

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Top Contributor
The digits of a three-digit number add up to 18. If the ten’s digit is twice the hundred’s digit and the hundred’s digit is 1/3 the unit’s digit, what is the number?

(A) 246
(B) 369
(C) 531
(D) 855
(E) 893

The ten’s digit is twice the hundred’s digit
Check the answer choices . . .
For answer choices C, D and E, the ten’s digit is NOT twice the hundred’s digit
ELIMINATE C, D and E

We're left with:
(A) 246
(B) 369

The digits of a three-digit number add up to 18.
Check the remaining answer choices . . .
(A) 246. Sum of digits = 2 + 4 + 6 = 12
ELIMINATE A

By the process of elimination, the correct answer is B

Cheers,
Brent
_________________
Intern  B
Joined: 13 Nov 2018
Posts: 20
Location: India
GMAT 1: 590 Q43 V28 Re: The digits of a three-digit number add up to 18. If the ten’s digit is  [#permalink]

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The digits of a three-digit number add up to 18. If the ten’s digit is twice the hundred’s digit and the hundred’s digit is 1/3 the unit’s digit, what is the number?

(A) 246
(B) 369
(C) 531
(D) 855
(E) 893

Source: Nova GMAT

LET THE THREE DIGIT NO BE 100X+10Y+Z

GIVEN THAT X+Y+Z= 18
Y=2X, X=Z/3
X+2X+3X= 18
THEREFORE X=3
Y=6 AND Z=9

THEN NO IS 100*3+(10*6)+(1*9)=369

+1 FOR OPTION B
Manager  B
Joined: 23 Jun 2016
Posts: 59
Location: Pakistan
Concentration: Operations, General Management
GMAT 1: 200 Q1 V1 GPA: 3.77
WE: Operations (Energy and Utilities)
Re: The digits of a three-digit number add up to 18. If the ten’s digit is  [#permalink]

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1
Let a = Hundreds Digit Number, b = Tens Digit Number, c = Units Digit Number
a+b+c = 18 .... (i)
b = 2a & a = c/3 => 3a = c
(i)=> a + 2a + 3a = 18 => 6a = 18 => a = 3
so b = 6, c = 9
Number = 369 ...... ANSWER = B Re: The digits of a three-digit number add up to 18. If the ten’s digit is   [#permalink] 19 Nov 2018, 22:21
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# The digits of a three-digit number add up to 18. If the ten’s digit is  