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Updated on: 07 Jul 2019, 01:45
Originally posted by Bunuel on 20 May 2017, 06:21.
Last edited by Sajjad1994 on 07 Jul 2019, 01:45, edited 1 time in total.
Last edited by Sajjad1994 on 07 Jul 2019, 01:45, edited 1 time in total.
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
96% (00:53) correct
4%
(01:47)
wrong
based on 84
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The ratio of two numbers is 10 and their difference is 18. What is the value of the smaller number?
(A) 2
(B) 5
(C) 10
(D) 21
(E) 27
(A) 2
(B) 5
(C) 10
(D) 21
(E) 27
Source: Nova GMAT
Difficulty Level: 500
Difficulty Level: 500
20 May 2017, 07:00
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The ratio is 10 or 10:1. Let the two numbers be 10x and x.
Given 10x - x = 18. Solve to get x=2
Hence A
Given 10x - x = 18. Solve to get x=2
Hence A
20 May 2017, 08:16
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Bunuel
Quote:
\(\frac{a}{b} = 10\) ---------------> (1)
Quote:
\(a - b = 18\) ---------------> (2)
Or, \(a = 18 + b\) ---------------->(3)
Putting (3) in (1)
\(\frac{18+b}{b} = 10\)
Or, \(18 + b = 10b\)
Or, \(9b = 18\)
So, \(b = 2\) ----------------> (4)
Putting (4) in ( 2 )
\(a - 2 = 18\)
So, \(a = 16\)
Thus, the value of the smaller number is (A) 2
