Question

The sum of two number is 132 and there lcm is 360 then find the number

Answer 1

Answer:

the 2 numbers are 72 and 60 as 72+60= 132

and the LCM of the two numbers= 360

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Answer 2

The numbers are 60 and 72.

Given:

• The sum of two numbers is 132.
• Their LCM is 360.

To find:

• Find the numbers.

Solution:

Let the numbers be 'a' and 'b'.

$\bf a + b = 132...eq1$

and

$\bf LCM(a,b) = 360$

To find the numbers, write the factors of 360

$360 = (2,3,4,5,6,8,9,10,12, \\ 15 ,18, \: 20, \: 24, \: 30, \: 36, \: 40, \: 45, \: 60, \\ \: 72,\: 90,\: 120, \: 180, \: 360 \:)$

from the factors of 360, make combinations of two numbers, on adding we get 132.

So,

Case 1:

If we take a= 12, then b= 120

$\bf 12 + 120 = 132$

$\bf LCM(12,120) = 120$

LCM of 12 and 120 is not equal to 360.

so, we have to discard these numbers.

Case 2:

If we take a=60 then b= 72

$60 + 72 = 132$

$\bf LCM(60,72) = 360$

So,

The numbers are 60 and 72.

Thus,

The numbers are 60 and 72.

Learn more:

1)Find the lcm of 25 ,90 and 180 by long division method and answer should be 900

https://brainly.in/question/44031042

2) the lcm of two co prime number 4875 if one of the number 75 find the other number

https://brainly.in/question/6191786

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