Question

A ratio in simplest form is $7:12$. If its consequent is $144$, find its antecedent.

Answer 1

The ratio is $7:12$

Let the common ratio be $x$

The antecedent and consequent are $7x,12x$respectively

By the problem,

$$\begin{gathered} =>12x=144 \\ =>x=\frac{144}{12}=12 \end{gathered}$$

$\therefore$Antecedent is $7x=7\times 12=84$

Hence the antecedent is $84$.