Question

two number are in ratio 15:11 if their HCF is 13 and LCM is 2145then find the numbera

Answer 1

Let numbers are 15x and 11x





We know,
Product of two numbers = ( LCM × HCF ) of those numbers



Here,


=> 15x × 11x = 13 × 2145

=> 165 x² = 13 × 2145

$=> {x}^{2} = \frac{13 \times 2145}{165}$

=> x² = 169

=> x = √169

=> x = 13





Hence, Numbers are :

15x = 15(13) = 195
11x = 11(13) = 143