Difference between two numbers is 15 and their hcf and lcm are 3 and 198 respectively the find the sum of squares of two numbers
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let the numbers be X and X+15
hcf*lcm = X(X+15)
= 3*198=X²+15X
= 594 = X²+15X
=X²+15X-594=0
= X²+33X-18X-594=0
= (X+33)(X-18)=0
X= -33 or 18
numbers are
18,33 or -33,-18
squares= 324 and 1089 in both the cases
sum of the squares= 324+1089= 1413
hcf*lcm = X(X+15)
= 3*198=X²+15X
= 594 = X²+15X
=X²+15X-594=0
= X²+33X-18X-594=0
= (X+33)(X-18)=0
X= -33 or 18
numbers are
18,33 or -33,-18
squares= 324 and 1089 in both the cases
sum of the squares= 324+1089= 1413
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