The sum of two number is 11 their diffrence is 5. what is the number?

1 Answer
May 15, 2018

Answer:

The answer to this problem is the two numbers #3# and #8#.

Explanation:

The reason for this is because you have two unknowns, or variables, that add up to #11#. Also, we know that one of those values is five less than the other.

So, we can deduce that the equation would be

#x + x - 5 = 11#

Solving this would result in first adding five to both sides so that

#2x = 16#

and dividing both sides by two

#x = 8#

So now we have the first term, and for the second term, you can do one of two things.

The first, understand that #8# is the first term and to find the second would simply be to subtract #5# resulting in the answer #3#.

The second way would be to plug it back into the equation so that

#8 + x = 11#

Subtract #8# from both sides and you get

#x = 3#