Question

The L.C.M of of two numbers is 14 times to their H.C.F the sum of L.C.M
and H.C.F is 600 if one number is 280 find the other

Answer 1

Heya !!!

Let the HCF of two numbers be X.

LCM = 14 × HCF = 14X

According to question,

HCF + LCM = 600

X + 14X = 600

15X = 600

X = 600/15

X = 40

HCF of two numbers = 40

LCM of two numbers = 14 × HCF = 14 × 40 = 560

One Number = 280

Other Number = ?

We know that,

One Number × Other Number = HCF × LCM

280 × Other Number = 40 × 560

Other Number = 40 × 560/280

Other Number = 80

HOPE IT WILL HELP YOU..... :-)

Answer 2

Let HCF = x
LCM = 14×x = 14x

×××××××××××××××××××××

sum of HCF and LCM = 600

x + 14x = 600

15x = 600

x = 600/15

x = 40

---------------------

HCF = x = 40
LCM = 14x = 14(40) = 560

===============

Product of numbers = LCM × HCF

280 × other number = 560 × 40

Other number = (560×40)/280

Other number = 2 × 40

Other number = 80



I hope this will help you


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