The age of a mother today is thrice that of her daughter. After $12$ years, the age of the mother will be twice that of her daughter. The present age of the daughter is

12

years

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18

years

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14

years

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20

years

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Solution

The correct option is A $12$ years
Let the daughter's present age be $x$ years.
Then, mother's present age $= 3 x$ years
After $12$ years,
$3 x + 12 = 2 (x + 12)$
$\Rightarrow 3 x + 12 = 2 x + 24$
$\Rightarrow x = 12$
Present age of daughter $= 12$ years.

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The age of a mother today is thrice that of her daughter. After 12 years, the age of the mother will be twice that of her daughter. The present age of the daughter is

The correct option is A 12 yearsLet the daughter's present age be x years. Then, mother's present age =3x years After 12 years, 3x+12=2(x+12) ⇒3x+12=2x+24 ⇒x=12 Present age of daughter =12 years.

The age of a mother today is thrice that of her daughter. After $12$ years, the age of the mother will be twice that of her daughter. The present age of the daughter is

The correct option is A $12$ years
Let the daughter's present age be $x$ years.
Then, mother's present age $= 3 x$ years
After $12$ years,
$3 x + 12 = 2 (x + 12)$
$\Rightarrow 3 x + 12 = 2 x + 24$
$\Rightarrow x = 12$
Present age of daughter $= 12$ years.