Question

the lcm of 2 no is 14 times of hcf . the sum of lcm and hcf is 600. if one is 280 find the other

Answer 1

Let the other number be a

LCM = 14 HCF --------(1)

LCM +HCF = 600

=> 15 × HCF = 600

=> HCF = 40

LCM = 560

We know that,

Product of numbers = LCM × HCF

=> 280a = 40 * 560

=> a = 40 * 560 / 280

=> a = 40 * 2

=> a = 80

Other number = 80

Answer 2

let the hcf be x
lcm = 14x
x + 14x = 600
15x = 600
x = 40
hence hcf = 40'
and lcm = 560
lcm x hcf = product of the numbers
let the other number be y
40 x 560 = y x 280
y = 40 x 560/280
y = 40 x 2
y = 80