Question

The HCF and LCM of two numbers are 33 and 264 respectively. When the first
number is completely divided by 2, the quotient is 33. Find the other number.

Answer 1

Hey Mate !

Here is your solution :

Given,

H.C.F = 33

L.C.M = 264

☆ When the first number is divided by 2,then quotient is 33 and remainder is 0.

Let , that number is x.

Using Euclid's Division Lemma ,

=> a = bq + r

=> x = 2 × 33 + 0

=> x = 66

So, one of the number is 66.

Let the another number is a.

Now,

We know that ,

=> H.C.F × L.C.M = Product of no.s

=> 33 × 264 = 66 × a

=> a = ( 33 × 264 ) ÷ 66

=> a = 132.

Hence , the other number is 132.

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Hope it helps !! ^_^

Answer 2

HENCE ACCORDING TO RULE,

HCF*LCM = PRODUCT OF TWO NUMBERS

WHERE ONE NUMBER IS COMPLETELY DIVISIBLE BY 2 AND GIVES 33 AS QUOTIENT.

THEN A= 2*33 =66.
THEN LCM*HCF = A*B ( consider A and B be the two numbers)

33*264 = 66*B

B = (264/2)

Hence B = 132.

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