The present age of Mr. Sanyal is three times the age of his son. Six years hence , the ratio of their ages will be 5 : 2. What is the present age of Mr. Sanyal ?

148 years
250 years
354 years
460 years

Answer:- 1

Explanation:-

Solution:

Let the son's age be x years ,
Then Mr. Sanyal's age = 3 years

\begin{aligned} ∴ \frac{3 x + 6}{x + 6} = \frac{5}{2} \\ \Rightarrow 2 (3 x + 6) = 5 (x + 6) \\ \Rightarrow 6 x + 12 = 5 x + 30 \\ \Rightarrow x = 18 \end{aligned}

$\eqalign{ & \therefore \frac{{3x + 6}}{{x + 6}} = \frac{5}{2} \cr & \Rightarrow 2\left( {3x + 6} \right) = 5\left( {x + 6} \right) \cr & \Rightarrow 6x + 12 = 5x + 30 \cr & \Rightarrow x = 18 \cr}$
∴ Present age of Mr. Sanyal = 3x years
= (3 × 18) years
= 54 years

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∴ Present age of Mr. Sanyal = 3x years
= (3 × 18) years
= 54 years ", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution:

Let the son's age be x years ,
Then Mr. Sanyal's age = 3 years