5. The LCM of two numbers is 28 times of their HCF. The sum of their LCM and HCF is 1740. If one number is 240 then what is the other number?
(A) 420
(B) 460
(C) 500
(D) 380
Pls help me in this question I just want explain the answer is 420
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LCM = 28 HCF Also LCM + HCF = 1740
⇒28HCF+HCF=1740⇒29HCF=1740⇒HCF=291740=60
⇒LCM=28×60=1680 Since one number = 240
∴Othernumber=OnenumberHCF×LCM=24060×1680=420
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