Question

2 a is equal to 3 b is equal to 4 C then A ratio B ratio 3 is

Answer 1

$\textsf{Given:}$

$\mathsf{2a=3b=4c=k(say)}$

$\mathsf{\implies\,2a=k,\;3b=k,\;4c=k}$

$\mathsf{\implies\,a=\frac{k}{2},\;b=\frac{k}{3},\;c=\frac{k}{4}}$

$\textsf{Now,}$

$\displaystyle\mathsf{a:\;b:\;c=\frac{k}{2}:\;\frac{k}{3}:\;\frac{k}{4}}$

$\textsf{Divide throughout by k}$

$\displaystyle\mathsf{a:\;b:\;c=\frac{1}{2}:\;\frac{1}{3}:\;\frac{1}{4}}$

$\textsf{Multiply throughout by 12}$

$\displaystyle\mathsf{a:\;b:\;c=\frac{12}{2}:\;\frac{12}{3}:\;\frac{12}{4}}$

$\implies\boxed{\mathsf{a:\;b:\;c=6:\;4:\;3}}$