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

Step-by-step explanation:

lcm = 4 hcf

now, lcm + hcf = 45

or, 4hcf + hcf = 45

or, 5hcf = 45

or, hcf = 9

so, lcm = 9×4= 36

another number = 9×36/9=36

the sum of the squre of those number = 9^2 + 36^2 = 81 + 1296=1377