# 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
Explanation:-

Solution:
Let Samina's age be 7x years.
Then, Suhana's age = 3x years
$\begin{array}{rl}& \therefore \frac{7x+6}{3x+6}\\ & ⇒3\left(7x+6\right)=5\left(3x+6\right)\\ & ⇒21x+18=15x+30\\ & ⇒6x+12\\ & ⇒x=2\end{array}$

Difference in their ages = (7x - 3x) years
= 4x years
= (4 × 2) years
= 8 years

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
$\begin{array}{rl}& \therefore \frac{7x+6}{3x+6}\\ & ⇒3\left(7x+6\right)=5\left(3x+6\right)\\ & ⇒21x+18=15x+30\\ & ⇒6x+12\\ & ⇒x=2\end{array}$

Difference in their ages = (7x - 3x) years
= 4x years
= (4 × 2) years
= 8 years ", "dateCreated": "7/24/2019 10:09:12 AM" } }