the lcm of two numbers is 14 times their hcf also the sum of HCF and LCM is 600 if one number is 280 then find the other number
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GIVEN,
HCF+LCM= 600,
ONE NUMBER= 280Let the HCF= X
LCM= 14X
HCF+LCM= 600
X+ 14X=600
15X= 600
X= 600/15
X= 40
HCF= 40
LCM = 14X= 14× 40= 560HCF×LCM= 1ST NUMBER × 2ND NUMBER
40× 560= 280× 2ND NUMBER
2ND NUMBER= (40×560) /280
2ND NUMBER= 40×2
2ND NUMBER= 80
HCF+LCM= 600,
ONE NUMBER= 280Let the HCF= X
LCM= 14X
HCF+LCM= 600
X+ 14X=600
15X= 600
X= 600/15
X= 40
HCF= 40
LCM = 14X= 14× 40= 560HCF×LCM= 1ST NUMBER × 2ND NUMBER
40× 560= 280× 2ND NUMBER
2ND NUMBER= (40×560) /280
2ND NUMBER= 40×2
2ND NUMBER= 80
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