. LCM of two numbers is 14 times their HCF. The sum of LCM and HCF is 600. If one number is 80, then what is the other number?
Answers
Answered by
1
Answer:
80
Step-by-step explanation:
Let the H.C.F be x
Let the L.C.M = 14x
x + 14x = 600
15x = 600
X = 40
HCF = 40
LCM = 14 X 40 = 560
Other number = 560×40280=80
Answered by
1
Let the HCF be x.
therefore LCM is 14x.
HCF + LCM = 600
x + 14x = 600
15 x = 600
x = 600/15
x = 40
HCF = 40
LCM = 14*40
= 560
product of 2 numbers = HCF × LCM
80 × other number = 40 × 560
80 × other number = 22400
other number = 22400/80
= 280
therfore the other number is 280.
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