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LCM of two numbers is 450 and their HCF is 10. If one number is 50, the other number will be:
  • a)
    35
  • b)
    90
  • c)
    100
  • d)
    105
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
LCM of two numbers is 450 and their HCF is 10. If one number is 50, t...
Given,
LCM = 450
HCF = 10
One Number = 50
To Find : Second Number
Let the Second number be x
LCM × HCF =1st number × 2nd number
Putting the values
450 × 10 = 50 × x
X = 90 Hence, option B is correct.
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Community Answer
LCM of two numbers is 450 and their HCF is 10. If one number is 50, t...
LCM and HCF:
- LCM stands for Least Common Multiple, which is the smallest positive integer that is divisible by both numbers.
- HCF stands for Highest Common Factor, which is the largest positive integer that divides both numbers without leaving a remainder.

Given information:
- LCM of two numbers is 450.
- HCF of two numbers is 10.
- One number is 50.

Calculating the other number:
To find the other number, we can use the formula:
LCM × HCF = Product of two numbers

Given that LCM = 450 and HCF = 10, we can substitute these values in the formula:
450 × 10 = Product of two numbers

Simplifying the equation:
4500 = Product of two numbers

We know that one number is 50, so we can substitute it into the equation:
4500 = 50 × Other number

Now, we can solve for the other number by dividing both sides of the equation by 50:
4500 ÷ 50 = Other number

Simplifying:
90 = Other number

Therefore, the other number is 90.

Answer:
The other number is 90, so the correct option is B) 90.
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LCM of two numbers is 450 and their HCF is 10. If one number is 50, the other number will be:a)35b)90c)100d)105Correct answer is option 'B'. Can you explain this answer?
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