Question

Lcm of two number is 14 times their hcf the sum of lcm and hcf is 600 if one number is 280 find other

Answer 1

lcm + hcf = 600

or, 14 x hcf + hcf = 600

or, 15 x hcf = 600

so, hcf = 40

now,

lcm x hcf = a x b

or, 14 x hcf x hcf = 280 x b

or, hcf^2 = 20 x b

or, 40 x 40 = 20 x b

or, 80 = b

and, b = 80

so, another number is 80