The LCM of two number is 45 times their HCF. If one of the numbers is 125 and the sum of HCF and LCM is 1150, the other number is:

Answer: Option C

LCM = 45 HCF
LCM + HCF = 1150
45 × HCF + HCF = 1150
46 × HCF = 1150
HCF = 25
Then,
LCM = 45 × 25 = 1125
Now, use the formula,
1^st number × second Number = LCM × HCF
125 × second number = 1125 × 25
Second Number = 225