Question

The lcm of two multiples of 12 is 1056. If one of the number is 132, the other number is

Answer 1

The lcm of two multiples of 12 is 1056. If one of the number is 132, the other number is 96

Solution:

Given that,

The lcm of two multiples of 12 is 1056

One of the number is 132

To find: other number

Let number be 12x and 12y respectively

LCM of 12x and 12y = 12xy

Given that,

lcm of two multiples of 12 = 1056

Therefore,

$12xy = 1056\\\\xy = \frac{1056}{12}\\\\xy = 88$

Therefore, possible pairs are (1, 88), (8, 11)

For 12x, 12y:

Possible pairs are (12, 1056) , (96, 132)

Given that one number is 132

Thus the other number is 96

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