The ratio of father's age to that of his son is equal to the ratio of the mother's age to that of daughter. If the ages of mother, son and daughter be 48, 24, 18 years respectively, then the age of father is ______ .

54

years

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60

years

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64

years

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50

years

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Solution

The correct option is A $64$ years
$\Rightarrow$ The ages of mother , son and daughter be 48 , 24 , 18 years respectively
$\Rightarrow$ Let age of father's age be $x y e a r s .$
$\Rightarrow$ It is given, $\frac{F a t h e r^{'} s a g e}{S o n^{'} s a g e} = \frac{M o t h e r^{'} s a g e}{D a u g h t e r^{'} s a g e}$
$∴$ $\frac{x}{24} = \frac{48}{18}$

$∴$ $x = \frac{48}{18} \times 24$

$∴$ $x = 64 y e a r s .$
$∴$ The age of father is $64 y e a r s$ .

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