the LCM of 2 no is 14 times their HCF. The sum of LCM ad HCF is 600. If 1 no is 280 then find the other nunber.
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let HCF=x
then,LCM=14x
ATQ,x+14x=600
15x=600
x=600/15
x=40
therefore,HCF=40 & LCM=560
now,LCM×HCF=1 no. × other no.
560×40=280 × other no.
or, other no.=560×40/280
therefore, other no.=80
then,LCM=14x
ATQ,x+14x=600
15x=600
x=600/15
x=40
therefore,HCF=40 & LCM=560
now,LCM×HCF=1 no. × other no.
560×40=280 × other no.
or, other no.=560×40/280
therefore, other no.=80
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