Question

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?

Answer 1

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