Question

The L.C.M of two numbers is 45 times the H.C.F. One number is 125; and the sum of their H.C.F and L.C.M is 1150. Find the other number

Answer 1

Hey there!

Let the HCF of the numbers be x.

⇒LCM of the numbers
= 45 times
x=45*x
=45x.

Sum of HCF and LCM is given as 1150 . 

Therefore,

45x+x=1150

⇒46x=1150

⇒x=1150/46=25.

⇒HCF of the numbers=25 and LCM of the numbers=25*45=1125.

Now,
HCF=25 , LCM=1125 and one number=125
We know the formula

(Product of HCF and LCM of 2 numbers)/(1 number)=Other number. Or,

25*1125/125
=225.

The two numbers are 225 and 125.

HOPE IT HELPED ^_^
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