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