The LCM of two numbers is 20 times of their
HCF and (LCM + HCF) = 2520. If one number is
480, what will be the triple of another number?
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LCM = 20 × HCF (given)
Let HCF = x
LCM = 20x ( according to given condition)
LCM + HCF = 2520
20x + x = 2520
21x = 2520
x = 2520 / 21
x = 120
The HCF is 120
The LCM is 2400
One number is 480
Other nunber is y
The product if the two number is = HCF × LCM
480 × y = 120 × 2400
y = 120 × 2400/480
y = 600
The other number is 600.
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