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.
1)2377
2)2025
3)1377
4)1025​

Answer 1

Answer: 3) 1377

Step-by-step explanation:

First number = 9  

Let another number be x  

Given, LCM=4HCF  

or LCM-4HCF=0..........(i)  

ALso, LCM+HCF=45..(ii)

Subtracting (i) from (ii)  

5HCF=45 or HCF = 9  

LCM = 4 HCF= 4*9=36

Now Product of Numbers = LCM * HCF  

So, 9*x=9*36 or x=36

Now, Sum of Squares= 9²+36²=1377