Math, asked by boombox1291, 7 months ago

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

Answered by itzFLiNT

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

Hope it helps mark as brainliest

Previous Question

Next Question