Question

L.C.M. of the given two numbers is double the greater number. And the difference between smaller number and G.C.F. is 4. Therefore the smaller number is​

Answer 1

Step-by-step explanation:

$let \: the \: numbers \: be \: x \: and \: y \\ suvh \: that \: x > y \\ given \: \: lcm = 2x \\ y - hcf = 4 \\ hcf = y - 4 \\ we \: know \: \: hcf \times lcm \: = x \times y \\ 2x \times (y - 4) = xy \\ 2xy - 8x = xy \\ xy = 8x \\ y = 8$