Question

The sum of two numbers is 45 and their difference is 1/9 of their sum. Their lcm is

Answer 1

Answer:

Hey,

Here is ur answer

Let a+b = 45

a-b = 5

Now by adding these two equations, we get

2a = 50

a = 50/2

a = 25

Putting a = 25 in either of the two initial equations gives b = 20

Now, question is to find LCM

Using prime factorization,

25 = 5*5

20 = 2*2*5

LCM of 20 ,25 = 5*5*2*2 = 100.

Therefore, LCM is 100.

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