1)

The LCM of two numbers 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 :


A) 215

B) 220

C) 225

D) 235

Answer:

Option C

Explanation:

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