The LCM Of Two Numbers Is 14 Times Their HCF. The Sum Of LCM And HCF Is 900. If One Number Is 280 Then The Other Number.
Answers
Let the HCF= X
LCM= 14X
HCF+LCM= 600
HCF+LCM= 600X+ 14X=600
HCF+LCM= 600X+ 14X=60015X= 600
HCF+LCM= 600X+ 14X=60015X= 600X= 600/15
HCF+LCM= 600X+ 14X=60015X= 600X= 600/15X= 40
HCF+LCM= 600X+ 14X=60015X= 600X= 600/15X= 40HCF= 40
HCF+LCM= 600X+ 14X=60015X= 600X= 600/15X= 40HCF= 40LCM = 14X= 14× 40= 560
HCF+LCM= 600X+ 14X=60015X= 600X= 600/15X= 40HCF= 40LCM = 14X= 14× 40= 560HCF×LCM= 1ST NUMBER × 2ND NUMBER
HCF+LCM= 600X+ 14X=60015X= 600X= 600/15X= 40HCF= 40LCM = 14X= 14× 40= 560HCF×LCM= 1ST NUMBER × 2ND NUMBER40× 560= 280× 2ND NUMBER
HCF+LCM= 600X+ 14X=60015X= 600X= 600/15X= 40HCF= 40LCM = 14X= 14× 40= 560HCF×LCM= 1ST NUMBER × 2ND NUMBER40× 560= 280× 2ND NUMBER2ND NUMBER= (40×560) /280
HCF+LCM= 600X+ 14X=60015X= 600X= 600/15X= 40HCF= 40LCM = 14X= 14× 40= 560HCF×LCM= 1ST NUMBER × 2ND NUMBER40× 560= 280× 2ND NUMBER2ND NUMBER= (40×560) /2802ND NUMBER= 40×2
HCF+LCM= 600X+ 14X=60015X= 600X= 600/15X= 40HCF= 40LCM = 14X= 14× 40= 560HCF×LCM= 1ST NUMBER × 2ND NUMBER40× 560= 280× 2ND NUMBER2ND NUMBER= (40×560) /2802ND NUMBER= 40×22ND NUMBER= 80
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