The product of wages of two workers is 720.Government decides to set up a lower limit for the salaries of labourers.If HCF of those two wages is one fourth of their LCM,what will be the HCF of their wages?What value is depiced by government?
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we know that
HCF×LCM=FIRST NO.×SECOND NO.------------------------------(1)
PRODUCT OF TWO NO. IS 720
AND HCF=LCM/4
PUTTING IN THE EQUATION (1)
LCM+LCM/4=720
5LCM/4= 720
5LCM=720×4
LCM=2880/5=576
AND WE KNOW THAT HCF=LCM/4
HCF=576/4=144
THEREFORE HCF OF THEIR WAGES IS 144
HCF×LCM=FIRST NO.×SECOND NO.------------------------------(1)
PRODUCT OF TWO NO. IS 720
AND HCF=LCM/4
PUTTING IN THE EQUATION (1)
LCM+LCM/4=720
5LCM/4= 720
5LCM=720×4
LCM=2880/5=576
AND WE KNOW THAT HCF=LCM/4
HCF=576/4=144
THEREFORE HCF OF THEIR WAGES IS 144
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