Question

The HFC of two numbers is 145and there lcm is 2175 if one of the numbers is 725 find the other number

Answer 1

Hi ,
__________________________Relation between HCF and LCM of
two numbers a and b is 
Product of two numbers = HCF × LCM____________________________
According to the given problem
HCF = 145 ,
LCM = 2175,
One number = a = 725
Let the second number = b
a × b = HCF × LCF
b = ( HCF × LCM ) / a 
b = ( 145 × 2175 )/ 725
b = ( 145 × 3 × 725 )/ 725
After cancellation ,
b = 145 × 3
b = 435
Therefore , 
Second number = b = 435
I hope this helps you.