Question

lcm of two numbers is 12& their sum is 4. what are the numbers

Answer 1

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Don L. | Fifteen years teaching and tutoring basi...

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Hi Mikalen, the two equations would be:

 

Equation 1: Sum:

 

x + y = 12

 

Equation 2: Difference:

 

x - y = 4

 

Solution:

 

x + y = 12

x  - y =   4

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Add the two equations together:

 

2x = 16

 

Divide both sides by 2:

 

x = 8

 

Solve for y:

 

Use equation 1 substituting for x:

 

x + y = 12

 

8 + y = 12

 

Subtract 8 from both sides:

 

y = 4

 

Answer:

 

one number is 8 and the other number is 4.

 

8 + 4 = 12

 

8 - 4  =  4