1.

Sum Of Squares Of Two Numbers Is 2754, Their Hcf Is 9, Lcm Is 135, Find The Numbers?

Answer»

Product of TWO no. = H.C.F*L.C.M 

So,x*y=135*9=1215 -----(1)

and x^2+y^2=2754

So,(x+y)^2=x^2+y^2+2*x*y = 2754+2*1215=5184

So,x+y=72 ----------- (2) 

By solving eq. (1) & (2) 

nos. are 45 and 27.

Product of two no. = H.C.F*L.C.M 

So,x*y=135*9=1215 -----(1)

and x^2+y^2=2754

So,(x+y)^2=x^2+y^2+2*x*y = 2754+2*1215=5184

So,x+y=72 ----------- (2) 

By solving eq. (1) & (2) 

nos. are 45 and 27.



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