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07 May 2021, 10:37
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
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Question Stats:
69% (02:39) correct
31%
(02:52)
wrong
based on 321
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The ratio of the current ages of Momen and his brother is 15:14. The ratio of the ages of Momen and his sister in 6 years will be 18:19. The gap between Momens age and his sister is the same as the gap between Momens age and his brother. What is Momens current age?
A. 26
B. 28
C. 30
D. 34
E. Cannot be determined
A. 26
B. 28
C. 30
D. 34
E. Cannot be determined
08 May 2021, 00:34
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Momen : Brother = 15:14
Pick the option which is multiple of 15.
Option C = 30
Momen: 30
His brother: 28 [Ratio maintained]
Gap: 2 years
After 6 years, Momen: 30 + 6 = 36
Momen : Sister = 18:19
His sister: 38 [Ratio maintained]
Gap: 2 years
Answer C
Pick the option which is multiple of 15.
Option C = 30
Momen: 30
His brother: 28 [Ratio maintained]
Gap: 2 years
After 6 years, Momen: 30 + 6 = 36
Momen : Sister = 18:19
His sister: 38 [Ratio maintained]
Gap: 2 years
Answer C
General Discussion
07 May 2021, 17:01
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Let brother's age be b, Momens age be m and sister's age be s.
From ratios, we can understand that \(b<m<s\)
\(\frac{m}{b}=\frac{15}{14}\), equation 1
\(=>b=\frac{14m}{15}\)
\(\frac{m+6}{s+6}=\frac{18}{19}\), equation 2
\(m-b=s-m\), equation 3
\(=> s=2m-b\)
From equation 1 and 2:
\(19 (m+6) = 18 (s+6)\)
Replace s with equation 3:
\(19 (m+6) = 18 (2m - b + 6)\)
Solve to get m = 30.
So, correct answer is C
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From ratios, we can understand that \(b<m<s\)
\(\frac{m}{b}=\frac{15}{14}\), equation 1
\(=>b=\frac{14m}{15}\)
\(\frac{m+6}{s+6}=\frac{18}{19}\), equation 2
\(m-b=s-m\), equation 3
\(=> s=2m-b\)
From equation 1 and 2:
\(19 (m+6) = 18 (s+6)\)
Replace s with equation 3:
\(19 (m+6) = 18 (2m - b + 6)\)
Solve to get m = 30.
So, correct answer is C
Posted from my mobile device
