To find the other number, let's use the information given. We know that the HCF (Highest Common Factor) of the two numbers is 33. And when the first number is divided by 2, the quotient is exactly 33.
If the HCF is 33, it means both numbers are divisible by 33. Since the quotient when the first number is divided by 2 is 33, we can conclude that the first number is 2 multiplied by 33, which is 66.
Now, to find the other number, we can use the fact that the LCM (Least Common Multiple) of the two numbers is 264. Since the LCM is the product of the two numbers divided by their HCF, we can set up the equation:
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Answer:
To find the other number, let's use the information given. We know that the HCF (Highest Common Factor) of the two numbers is 33. And when the first number is divided by 2, the quotient is exactly 33.
If the HCF is 33, it means both numbers are divisible by 33. Since the quotient when the first number is divided by 2 is 33, we can conclude that the first number is 2 multiplied by 33, which is 66.
Now, to find the other number, we can use the fact that the LCM (Least Common Multiple) of the two numbers is 264. Since the LCM is the product of the two numbers divided by their HCF, we can set up the equation:
LCM = (First Number * Second Number) / HCF
Substituting the given values:
264 = (66 * Second Number) / 33
Simplifying the equation:
264 = 2 * Second Number
Dividing both sides by 2:
132 = Second Number
So, the other number is 132.