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. The other number is

Answer 1

Given :

HCF = 33

LCM = 264

Given :

When first number completely divided by 2 , the quotient is 33

let the first number is x

X/2 = 33

X = 33 x 2

X = 66

First number is 66


Product of two numbers = HCF x LCM

one number is 66.

let the second number is y.

66 * y = 33 x 264

66y = 8712

y = 8712 ÷ 66

y = 132.

$\bold{Second \: number \: = \: 132}$

Answer 2

Let the number be x and y
Given :
H.C.F of x and y is 33
L.C.M of x and y is 264
we know that
L.C.M x H.C.F = xy
xy = 33 x 264 --------(i)
x/2 = 33
x=66
so the first number is 66
From (i)
66 x y = 33 x 264
y = 132
so the second number is 132.
Hope it will help you✌