Question

The ratio of two numbers is $$31 : 23$$ and their sum is $$216$$. Find these numbers.

Answer 1

Let the two numbers be $$31x$$ and $$23x$$

Sum of the two numbers = $$216$$

$$\therefore 31x+23x=216$$

$$\Rightarrow 54x=216$$

$$\Rightarrow x=\frac{216}{54}=4$$

$$\therefore$$ One number = $$31x$$ = $$31*4$$ = $$124$$

Other number = $$23x$$ = $$23*4$$ = $$92$$

Thus, the two numbers are $$92$$ and $$124$$.