Question

The LCM od two numbers is 14 times their HCF . the Sum of LCM and HCF is 600. If one number is 280 , then find the other number

Answer 1

hey friend !!

here's your answer :-

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Given that ,

● The LCM of two numbers is 14 times of their HCF .

==> LCM = 14 HCF ..............( 1 )

● The sum of the LCM and HCF is 600.

==> LCM + HCF = 600 ..............( 2 )

Put the value of LCM ( 1 ) in second ( 2 ) eq.

==> 14 HCF + HCF = 600

==> 15 HCF = 600

==> HCF = 600 / 15

==> HCF = 40

● hence , HCF = 40

Put the value of HCF in 1st eq.

==> LCM = 14 HCF

==> LCM = 14 * 40

● hence , LCM = 560

□ Given that , if

One number = 280

Second number = ?

As we know that ,

☆ LCM * HCF = first number * second number

On putting values , we get :-

==> 560 * 40 = 280 * second number

==> second number = ( 560 × 40 ) / 280

==> second number = 2 × 40

==> second number = 80

hence , second number is 80.

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hope it helps !!

thanks for asking :)

☆ be brainly ☆