the LCM of two numbers is 4 times the sum of LCM and HCF is 45 and one of the number is 9 then find the sum of the squares of the numbers
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Step-by-step explanation:
1296
Step-by-step explanation:
Let the HCF=y
LCM=4y
Given LCM+HCF=45
4y+y=45
5y=45
y=9
HCF=9,LCM=36
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LCM×HCF=Product of numbers
36×9=9×b(where b is the unknown number)
clearly, b=36
sum of squares=36^2+9^2=1296
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