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The HCF of two numbers is 21 and their LCM is 3003. If one of the numbers is 231. Then what is the other number?
  • a)
    273
  • b)
    263
  • c)
    283
  • d)
    293
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The HCF of two numbers is 21 and their LCM is 3003. If one of the numb...
Let the other number be x

We know,

HCF x LCM = PRODUCT OF THE NUMBERS

=> 21 x 3003 = 231 x x

View all questions of this test
Most Upvoted Answer
The HCF of two numbers is 21 and their LCM is 3003. If one of the numb...
To find the other number, we need to use the concept of the product of two numbers equals the product of their HCF and LCM. Let's solve step by step:

Given:
HCF of two numbers = 21
LCM of two numbers = 3003
One of the numbers = 231

Product of two numbers = Product of their HCF and LCM
Let the other number be x.
Product of the two numbers = 231 * x
Product of their HCF and LCM = 21 * 3003

Now we can equate the two products:

231 * x = 21 * 3003

Simplifying the equation:

231x = 63063

Dividing both sides of the equation by 231:

x = 63063 / 231
x = 273

Therefore, the other number is 273.

So, option (A) is the correct answer.
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Community Answer
The HCF of two numbers is 21 and their LCM is 3003. If one of the numb...
293
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