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The sum of the ages of a daughter and her mother is 56 years. After 4 years, the age of the mother will be three times that of the daughter. At present their ages are ?

110 years, 46 years
212 years, 44 years
311 years, 45 years
413 years, 43 years

Answer:- 1

Explanation:-

Solution:

Let daughter's age be x years.
Then, mother's age = 3 years

\begin{aligned} ∴ (3 x + 12) = 2 (x + 12) \\ \Rightarrow 3 x + 12 = 2 x + 24 \\ \Rightarrow x = 12 \end{aligned}

$\eqalign{ & \therefore \left( {3x + 12} \right) = 2\left( {x + 12} \right) \cr & \Rightarrow 3x + 12 = 2x + 24 \cr & \Rightarrow x = 12 \cr}$
∴ Daughter's age today = 12 years

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∴ Daughter's age today = 12 years ", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution:

Let daughter's age be x years.
Then, mother's age = 3 years

\begin{aligned} ∴ (3 x + 12) = 2 (x + 12) \\ \Rightarrow 3 x + 12 = 2 x + 24 \\ \Rightarrow x = 12 \end{aligned}

$\eqalign{ & \therefore \left( {3x + 12} \right) = 2\left( {x + 12} \right) \cr & \Rightarrow 3x + 12 = 2x + 24 \cr & \Rightarrow x = 12 \cr}$
∴ Daughter's age today = 12 years ", "dateCreated": "7/24/2019 10:09:12 AM" } }

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