The ratio of the present age of Meena and Fiona is 16 : 13 respectively. Four years ago the respective ratio of their age was 14 : 11. What will be Fiona's age four years from now?
The ratio of the present age of Meena and Fiona is 16 : 13 respectively. Four years ago the respective ratio of their age was 14 : 11. What will be Fiona's age four years from now?
A8 years
B32 years
C26 years
DNone of these
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Correct answer is: None of these
Explanation:
Let the present age of Meena and Fiona be 16x and 13xyears respectively.
According to the question,\(\implies \Large \frac{16x-4}{13x-4}=\frac{14}{11}\)
\(\implies 176x - 44 = 182x - 56\)
\(\implies 182x - 176x = 56 - 44\)
\(\implies 6x =12 => x = \frac{12}{6} = 2\)
Therefore, Fiona's age after four years = 13x + 4
\(= 13×2+4 = 30 \text{ years}\)
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