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10 years ago, mother was 4 times of her daughter. After 10 years the mother will be twice of her
daughter. Present age of daughter is

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answer is C.

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Detailed Solution

$M - 10 = 4 (D - 10)$

$a f t e r 10 y r s M + 10 = 2 (D + 10)$

from first equation M=4(D-10)+10

$\Rightarrow 4 (D - 10) + 10 + 10 = 2 D + 20$

$\Rightarrow 4 D - 40 + 20 = 2 D + 20$

$4 D - 40 + 20 = 2 D + 20$

$\Rightarrow 4 D - 20 = 2 D + 20$

$\Rightarrow 2 D = 40 \Rightarrow D = 20 y r s$

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