The L.C.M. of two toies numbers is 20 their H.C.F. The sum of H C.F. and L.C.M. is 2520. If one of the number is 480, the other number is : 1). 400 2). 480 3). 520 4). 600
Let the H.C.F. be H.
L.C.M. = 20H
Then, H + 20H = 2520
21 H = 2520
H =$\frac{2520}{21}$ = 120
L.C.M. = 20H = 20×120= 2400
As,
First number × Second number
= L.C.M. × H.C.F.
480 × Second number
= 2400 × 120
Second number
$\frac{2400\times 120}{480}$ = 600