Question

the lcm of 2 numbers is 14 times their hcf the sum of lcm and hcf is 600 if one number is 280 find other number

Answer 1

Answer:

The other number is 80.

Step-by-step explanation:

Let the HCF is x

Then LCM is 14x (as LCM is 14 times of HCF)

according to the question:-

=> 14x + x = 600

=> 15x = 600

=> x = 600/15

=> x = 40

HCF = 40

LCM = 14x = 14x×40 = 560

First number = 280

We know that,

(one number) × (the other number) = (HCF× LCM)

Hence, the required number = (HCF× LCM)/ 1st no

=> 40×560/280

=> 80 (answer)

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