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:
A. 215
B. 220
C. 225
D. 235
Answer: Option C
Solution (By Examveda Team)
LCM = 45 HCF LCM + HCF = 1150 45 × HCF + HCF = 1150 46 × HCF = 1150 HCF = 25 Then, LCM = 45 × 25 = 1125 Now, use the formula, 1st number × second Number = LCM × HCF 125 × second number = 1125 × 25 Second Number = 225This Question Belongs to Arithmetic Ability >> Number System
The L.C.M. (Lowest (or Least) Common Multiple) of two numbers is 45 times to their H.C.F (Highest Common Factor). If one of the numbers is 125 and sum of L.C.M. and H.C.F. is
1150, the other number is:
a) 215
b) 220
c) 225
d) 235
Solution: Let L.C.M. be l and H.C.F. be h. Then l = 45h
l + h =1150
This gives h =25 and l = 1125
Thus the second number = (25 * 1125)/125 = 225
( how to calculate 25)