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Rajan got married 8 years ago. His present age is times his age at the time of his marriage. Rajan's sister was 10 years younger to him at the time of his marrige. The age of Rajan's sister is = ?

132 years
236 years
338 years
440 years

Answer:- 1

Explanation:-

Solution:

Let Rajan's age 8 years ago be x years,
Then, present age = (x + 8) years

\begin{aligned} ∴ x + 8 = \frac{6}{5} x \\ \Rightarrow 5 x + 40 = 6 x \\ \Rightarrow x = 40 \end{aligned}

$\eqalign{ & \therefore x + 8 = \frac{6}{5}x \cr & \Rightarrow 5x + 40 = 6x \cr & \Rightarrow x = 40 \cr}$
Rajan's sister's age 8 years ago
= (40 - 10) years
= 30 years
∴ His sister's age now
= (30+8) years
= 38 years

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Rajan's sister's age 8 years ago
= (40 - 10) years
= 30 years
∴ His sister's age now
= (30+8) years
= 38 years ", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution:

Let Rajan's age 8 years ago be x years,
Then, present age = (x + 8) years

\begin{aligned} ∴ x + 8 = \frac{6}{5} x \\ \Rightarrow 5 x + 40 = 6 x \\ \Rightarrow x = 40 \end{aligned}

$\eqalign{ & \therefore x + 8 = \frac{6}{5}x \cr & \Rightarrow 5x + 40 = 6x \cr & \Rightarrow x = 40 \cr}$
Rajan's sister's age 8 years ago
= (40 - 10) years
= 30 years
∴ His sister's age now
= (30+8) years
= 38 years ", "dateCreated": "7/24/2019 10:09:12 AM" } }

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