Question
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,
1st number × second Number = LCM × HCF
125 × second number = 1125 × 25
Second Number = 225
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