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The digits of a three-digit number add up to 18. If the ten’s digit is
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31 Mar 2021, 05:29
31 Mar 2021, 05:29
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Question Stats:
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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
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
(A) 246
(B) 369
(C) 531
(D) 855
(E) 893
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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Joined: 10 Apr 2015
Posts: 6218
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Re: The digits of a three-digit number add up to 18. If the ten’s digit is
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31 Mar 2021, 05:42
31 Mar 2021, 05:42
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Carcass wrote:
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
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
(A) 246
(B) 369
(C) 531
(D) 855
(E) 893
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Given Kudos: 172
Location: India
WE:Education (Education)
The digits of a three-digit number add up to 18. If the ten’s digit is
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31 Mar 2021, 06:54
31 Mar 2021, 06:54
1
Bookmarks
Carcass wrote:
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
(A) 246
(B) 369
(C) 531
(D) 855
(E) 893
Alternate Approach:
Let us assume the number to be \(abc\)
Given, \(a + b + c = 18\) and \(b = 2a\), \(a = \frac{c}{3}\)
i.e. \(a + 2a + 3a = 18\)
\(6a = 18\)
\(a = 3\)
The only number starting with \(3\) is option B
Else, we can see that the number would be \(369\)
