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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...
HCF × LCM = Produt of two number
11× 7700 = 275 × k
k = (11 × 7700 ) ÷ 275 = 308. Option ( C )
11× 7700 = 275 × k
k = (11 × 7700 ) ÷ 275 = 308. Option ( C )
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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 the numbers is 275, then the other is:a)279b)283c)308d)318Correct answer is option 'C'. Can you explain this answer?
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