Question

Two numbers are in the ratio $17:13$.If their HCF is $15$, find the numbers.

Answer 1

Given ratio of two numbers is $17:13$ and HCF is $15$.
Let the first number be $a=17x$ and
Second number be $b=13x$
Since, $17$ and $13$ are prime numbers.
Thus, the H.C.F of $a$ and $b$ is $x=15$
So, the first number $=17\times 15=255$ and
second number $=13\times 15=195$
Hence, the required numbers are $255$ and $195$.