Question

If $\frac{1}{3}A=\frac{1}{4}B=\frac{1}{5}C.$ Then find A: B : C.

Answer 1

Consider the given equation,

$\frac{1}{3}A=\frac{1}{4}B=\frac{1}{5}C$

Since,

$\frac{1}{3}A=\frac{1}{4}B$

$\frac{A}{B}=\frac{3}{4}$

$A:B=3:4$ …..(1)

Since,

$\frac{1}{4}B=\frac{1}{5}C$

$\frac{B}{C}=\frac{4}{5}$

$B:C=4:5$ …..(2)

From equation 1^st and 2^nd , we get

$A:B:C=3:4:5$

Hence, this is the answer.