The sum of LCM and HCF of two numbers is 854. If the LCM is 60 times the HCF and one of the numbers is 70, then the other number is

168

The correct answer is Option (3) → 168

The sum of H.C.F. and L.C.M. of two numbers = 854

L.C.M. of two numbers = 60 times of H.C.F. of two numbers

The one of the numbers = 70

We know that,

The product of two numbers = (H.C.F of two numbers) × (L.C.M. of two numbers)

Let the HCF = x

Then the LCM = 60x

Now, x + 60x = 854

61x = 854

X = 14

Now HCF = 14,

LCM = 14 × 60 = 840

70 × another number = (14) × (840)

Another number = 168