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

May 15, 2018

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

$2 x = 16$

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

$x = 3$