the LCM of two number is 14 times their HCF. the sum of LCM and HCF is 600 . if one number is 280, then find other number
Answers
Answered by
127
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
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
HOPE IT WILL HELP YOU..... :-)
Answered by
47
Hope this helps ya ✌️
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