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The H.C.F. of two numbers is 11 and their L.C.M. is 7700. If one of the numbers is 275, then the other is:
- a)279
- b)283
- c)308
- d)318
Correct answer is option 'C'. Can you explain this answer?
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The H.C.F. of two numbers is 11 and their L.C.M. is 7700. If one of th...
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The H.C.F. of two numbers is 11 and their L.C.M. is 7700. If one of th...
To find the other number, we can use the formula:
LCM × HCF = Product of the two numbers.
Given that the HCF is 11 and the LCM is 7700, we can substitute these values into the formula:
7700 × 11 = Product of the two numbers
84700 = Product of the two numbers
Now, let's solve for the other number using the given number and the product:
84700 = 275 × Other number
Divide both sides of the equation by 275 to isolate the other number:
Other number = 84700 / 275
Simplify the expression:
Other number = 308
Therefore, the other number is 308.
Hence, the correct answer is option C) 308.
LCM × HCF = Product of the two numbers.
Given that the HCF is 11 and the LCM is 7700, we can substitute these values into the formula:
7700 × 11 = Product of the two numbers
84700 = Product of the two numbers
Now, let's solve for the other number using the given number and the product:
84700 = 275 × Other number
Divide both sides of the equation by 275 to isolate the other number:
Other number = 84700 / 275
Simplify the expression:
Other number = 308
Therefore, the other number is 308.
Hence, the correct answer is option C) 308.
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The H.C.F. of two numbers is 11 and their L.C.M. is 7700. If one of th...
Options are easy and can be verified in a smarter approach.
Divide each of the given options by the given HCF to get zero remainder.
Only (c) is correct for the above approach.
Divide each of the given options by the given HCF to get zero remainder.
Only (c) is correct for the above approach.
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