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The LCM of two number is 45 times their HCF If...

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Number System
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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 & Solution
Correct 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,
1st number × second Number = LCM × HCF
125 × second number = 1125 × 25
Second Number = 225
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DHANA SHREE
DHANA SHREE 8 years ago
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)
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