Question

Two numbers are in ratio 2:7. If their LCM is 224, find the greater number

Answer 1

2/7
2/7 is divided with lcm 224
to get 32
the greater number is 32

Answer 2

let the numbers be 2x,7x
then LCM of 2x ,7x is 2×7×x
2×7×x=224
14x=224
x=224/14
x=16
then 2x=2×16
=32
7x=7×16
=112
therefore greater number is 112