# The lcm of two numbers is 45 times their hcf. if one of the numbers is 225 and sum of their lcm and hcf is 1150, find the other number.

2
by npriya

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by npriya

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Numbers are 225,125...................................

The Brainliest Answer!

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

Sum of HCF and LCM is given as 1150 .

Therefore , by the condition ,

45x+x=1150

⇒46x=1150

⇒x=1150/46=25.

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

Now we have the information

HCF=25 , LCM=1125 and one number=225.

We know the formula

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

25*1125/225

=5*1125/45

=1125/9

=125.

Ans:The numbers are 225 and 125.

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