Question

The hcf and lcm of 2 nos. Are 33 and 264 resp. When the first number is completely divided by 2, the quotient is 33. Find the number.

Answer 1

Heya !!!

The answer of your query is here.


Given :-

HCF = 33.
LCM = 264.

It is also given that if the first number is completely divided by 2, then quotient is 33.

Let the number be x.

According to the question,
x ÷ 2 = 33
x = 33 × 2
x = 66.
So, the first number is 66.

Let the other number be y.

We know that .......


LCM × HCF = PRODUCT OF TWO NUMBERS.

So,

33 × 264 = 66 × y
$y = \frac{33 \times 264}{66} \\ = > y = \frac{264}{2} = > y = 132$
Hence, the second number is 132.

Hence, the two numbers are 66 and 132.

Hope you got the answer

Answer 2

Heya,

It is given that:-

HCF = 33
LCM = 264
1st number is divided by 2
Quotient = 33

Let the first number be "x"
And second number be "y"

=> x/2 = 33

=> x = 33 × 2

=> x = 66

To find the second number,

HCF × LCM = Product of x & y
=> 33 × 264 = 66 × y

=> 33 × 264/66 = y

=> 3 × 264/6 = y

=> 1 × 264/2 = y

=> 264/2 = y

=> 132 = y

Therefore,
First number [x] = 66
Second number [y] = 132

Hope my answer helps you :)

Regards,
Shobana