lcm of 2 numbers is 45 times their hcf. if one of the numbers is 125 and the sum of the hcf and lcm is 1150.find the other no.

Question

hartnn · Answer

hi @abhi86 
$\huge \color{red}{\text{Welcome to Open Study}}\ddot\smile$

Do you know this property:
product of LCM and HCF = product of 2 numbers. ?

hartnn · Answer

take LCM as L. HCF as H, two numbers as x,y
so 
xy=LH
x=125.
L=45H.
L+H=1150.
from this., can you find y ?

hartnn · Answer

from L=45H and L+H=1150
you can easily find L and H.

hartnn · Answer

u get LCM=25, HCF=1125
hence, y=225 is the other number.