When 5/x = 3 and y/6 = 2 then (3 + y)/(x + 5) = ?

Question: When 5/x = 3 and y/6 = 2 then (3 + y)/(x + 5) = ?

Solution:
Given that, 5/x = 3
⇒ 3x = 5
⇒ x = 5/3
And, y/6 = 2
⇒ y = 12

Now, we need to find the value of (3 + y)/(x + 5):
Substituting the values of x and y:
= (3 + 12)/(5/3 + 5)
= 15/{(5 + 15)/3}
= 15/(20/3)
= 15 × (3/20)
= (3 × 3)/4
= 9/4
∴ The value is 9/4.

Correct Answer: ক) 9/4