If \(\frac{x}{5} = \frac{y}{8}\), then (x + 5) : (y + 8) is equal to:

A 3 : 5

B 13 : 8

C 8 : 5

D 5 : 8

Correct Answer: Option D

Solution:

ধরি,\(\frac{x}{5} = \frac{y}{8}\) = k

\(\frac{x}{5} = k\) => x = 5k

x + 5 = 5k + 5

এবং \frac{y}{8}\)= k => y = 8k

y + 8 = 8k + 8

অতএব, (x + 5) : (y + 8)

= 5k + 5 : 8k + 8

= 5 (k + 1) : 8 (k + 1)

= 5 : 8