The LCM of two numbers is 14 times their HCF. The sum of LCM and HCF is 600. If one is 280 then, find the other number..
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Hii friend,
Let the HCF of two numbers is X.
Then,
LCM of two numbers = 14X
According to question,
14X + X = 600
15X = 600
X = 600/15
X = 40
HCF of two numbers = X = 40
LCM of two numbers = 14X = 14 × 40 = 560
One Number = 280
We know that,
One Number× Other Number = HCF × LCM
280 × Other Number = 40 × 560
Other Number = 40 × 560 / 280
Other Number = 80
Hence,
The other number = 80
HOPE IT WILL HELP YOU...... :-)
Let the HCF of two numbers is X.
Then,
LCM of two numbers = 14X
According to question,
14X + X = 600
15X = 600
X = 600/15
X = 40
HCF of two numbers = X = 40
LCM of two numbers = 14X = 14 × 40 = 560
One Number = 280
We know that,
One Number× Other Number = HCF × LCM
280 × Other Number = 40 × 560
Other Number = 40 × 560 / 280
Other Number = 80
Hence,
The other number = 80
HOPE IT WILL HELP YOU...... :-)
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