Question

Lcm of 2 numbers is 20 times their hcf the sum of hcf and lcm is 2520 if one of the number is 480 then other number is

Answer 1

let HCF be = X , -
So as as per question , LCM will be = 20X

2) LCM + HCF = 2520
20X + X = 2520
21X = 2520
X = 2520 / 21
X = 120

therefore , HCF = X = 120
LCM = 20X = 20 x 120 = 2400

NOW, first number = 480
second number = Y

as we know , that : LCM = (PRODUCT OF TWO NUMBERS) / HCF
on putting up the values , we get : 2400 = (480 x Y) / 120
Y = (2400 x 120) / 480
Y = 600

Hence , second number = 600

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