Question

The LCM of two numbers is 4 times HCF. If the sum of LCM and HCF is 45, and one of the numbers is 9, then find the sum of the squares of those numbers.​

Answer 1

Answer:

1377

Step-by-step explanation:

Let the HCF be x.

Then LCM is 4x.

4x + x = 5x = 45

x = 9

HCF = 9

LCM = 36

One number is 9.

Other Number = (36 * 9)/9

= 36                                    [Productof 2 Numbers = Product of HCF and LCM]

9^2 + 36^2 = 81+1296

= 1377

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