Question

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

please mention the method

Answer 1

$let \: the \: numbers \: are \: 15x \: and \: 11x \\ therefore \: 15x \times 11x = 2145 \times 13\\ 165 {x}^{2} = 2145 \times 13\\ {x}^{2} = 13 \times 13 \\ x = 13 \\ the \: numbers \: are \: 15 \times 13 = 195 \\ and \: 11 \times 13 = 143$