Question

sum of two number is 45 and there difference is 1/9 of their sum. the lcm is

Answer 1

$let \: the \: no.be \: x \: and \: y \\ x + y = 45 \\ x - y = \frac{1}{9}\\ from \: x - y = 5 \: we \: get \: x = 5 + y \: \\ put \: this \: value \: on \: x + y = 45 \\ 5 + y + y = 45 \\ 5 + 2y = 45 \\ y = 20 \\ x = 25 \\ lcm \: of \: 25 \: and \: 20 \: is \: \\ 100$