The LCM of two numbers is 77 times their HCF The sum of HCF and LCM is 412 If one number is 28 ...........

Quantitative Aptitude (CDS) Number System

The LCM of two numbers is 77 times their HCF. The sum of HCF and LCM is 412. If one number is 28 find the other number?

HCF+LCM=412 ....1
LCM=77 × HCF .....2
on solving 1 and 2 we get
LCM=308
HCF=4
HCF×LCM=NUMBER1×NUMBER2
4×308=28×number2
Number2=44

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