1.

The sum of LCM and HCF of two numbers is 89601. If the LCM is 89600 times the HCF and one of the numbers is 175 then determine the other number.1). 1752). 11203). 5124). 80

Answer»

Let LCM be ‘L’ and HCF be ‘H’.

⇒ l + h = 89601-----(1)

Given l is 89600 times h ⇒ l = 89600h

⇒ 89600h + h = 89601 ⇒ 89601h = 89601⇒ h = 1

∴ from equation (1), l = 89601 – h = 89601 – 1 = 89600

∴ l = 89600 and h = 1

We KNOW that the PRODUCT of two NUMBERS = product of their LCM and HCF

⇒ xy = lhwhere x and y are the numbers

⇒ 175x = 89600

⇒ x = 89600/175 = 512

∴ the other number is 512


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