Question

The LCM of two numbers is 28 times of their HCF.The sum of their LCM and HCF is 1740.lf one
number is 240 then what is the other number?

Answer 1

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LCM = 28 \times HCF

i.e. L = 28 H

∴L + H = 1740

=> 28H + H = 1740

=> 29H = 1740

=> H =174029 = 60

∴L=28×60=1680

Now,240×secondnumber=1680×60=>Secondnumber

=168060= 420

[∵Productoftwono.=LCM×HCF ]

∴Sum of digits = 4 + 2 + 0 =6