Question

Two numbers are in the ratio $15:11$ their HCF is $13$ and LCM is $2145$ then find the number.

Answer 1

Numbers are in ratio 15:11

Let numbers be 15x, 11x

product of two numbers $LCM\times HCF$

$\left(15x\right)\left(11x\right)=2145\times 13$

$=x^2=\frac{2145\times 13}{15\times 11}=13\times 13$

$x=13$

numbers are $15x=15\times 13=195$

$11x=11\times 13=143$