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Naveen28
 
Reply Sat 9 Jun, 2018 11:24 am
The lcm of 2 numbers= 14 times their HCF. The sum of LCM and HCF is 600. If one number is 280 find the other number
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engineer
 
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Reply Sat 9 Jun, 2018 11:37 am
@Naveen28,
L = LCM
H = HCF

L = 14 H
L + H = 600
15H = 600
H = 40
L = 560

One of the two numbers is 280 which factors to 2*2*2*5*7 or 40*7. To get a LCF of 560, the second number must be 40 times 2 = 80.

The two numbers are 80 and 280.
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