Question

x/5=y/8 हो तो x+5/y+8का मान होगा​

Answer 1

Answer:

x/5=y/8

8x=5y

x=5y/8

x+5/y+8

=5y/8+5/y+8

=40+5y/5/y+8

=(40+5y)(y+8)/5

=5(y+8)(y+8)/5

=(y+8)²

=y²+64+16y

Answer 2

माना

$\frac{x}{5} = \frac{y}{8} = q$

तब, x = 5q तथा y = 8q

$\frac{x + 5}{y + 8} \\ \\ = \frac{5q + 5}{8q + 8} \\ \\ = \frac{5(q + 1)}{8(q + 1)} \\ \\ = \frac{5}{8}$

अतः

$\frac{(x + 5)}{(y + 8)} = \frac{5}{8}$