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The ages of Samina and Suhana are in the ratio of 7 : 3 respectively. After 6 years, the ratio of their ages will be 5 : 3. What is the difference in their ages?

16 years
28 years
310 years
412 years

Answer:- 1

Explanation:-

Solution:

Let Samina's age be 7x years.
Then, Suhana's age = 3x years

\begin{aligned} ∴ \frac{7 x + 6}{3 x + 6} \\ \Rightarrow 3 (7 x + 6) = 5 (3 x + 6) \\ \Rightarrow 21 x + 18 = 15 x + 30 \\ \Rightarrow 6 x + 12 \\ \Rightarrow x = 2 \end{aligned}

$\eqalign{ & \therefore \frac{{7x + 6}}{{3x + 6}} \cr & \Rightarrow 3\left( {7x + 6} \right) = 5\left( {3x + 6} \right) \cr & \Rightarrow 21x + 18 = 15x + 30 \cr & \Rightarrow 6x + 12 \cr & \Rightarrow x = 2 \cr}$
Difference in their ages = (7x - 3x) years
= 4x years
= (4 × 2) years
= 8 years

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Difference in their ages = (7x - 3x) years
= 4x years
= (4 × 2) years
= 8 years ", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution:

Let Samina's age be 7x years.
Then, Suhana's age = 3x years

\begin{aligned} ∴ \frac{7 x + 6}{3 x + 6} \\ \Rightarrow 3 (7 x + 6) = 5 (3 x + 6) \\ \Rightarrow 21 x + 18 = 15 x + 30 \\ \Rightarrow 6 x + 12 \\ \Rightarrow x = 2 \end{aligned}

$\eqalign{ & \therefore \frac{{7x + 6}}{{3x + 6}} \cr & \Rightarrow 3\left( {7x + 6} \right) = 5\left( {3x + 6} \right) \cr & \Rightarrow 21x + 18 = 15x + 30 \cr & \Rightarrow 6x + 12 \cr & \Rightarrow x = 2 \cr}$
Difference in their ages = (7x - 3x) years
= 4x years
= (4 × 2) years
= 8 years ", "dateCreated": "7/24/2019 10:09:12 AM" } }

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