The sum of two numbers is 12. their difference is 2. find the numbers

The numbers are 7 and 5.

Step-by-step explanation:

Let two  unknown numbers be x and y .

Assume  .

The first expression is given : The sum of two numbers is 12.

we have,

x+y =12      ...[1]

The second expression  states that : The difference of  two numbers is 2 , i.e,

we have;

x- y =2      .....[2]

Now, adding the equations, term by term on both sides,  we will eliminate y leaving an equation in x that we can solve:

then,  [1]+[2] gives

Simplify we get;

⇒

Substitute the value of  x =7 in equation [1];

On simplify, we get;

y = 5.

im not quite sure if this is right but i got 5.6 oisutuve

step-by-step explanation:

check the picture below.

well, the angle at the vertex d is clearly not a right-angle, let's check for the one at the vertex f which does look like,   however if it's indeed, that means ef is perpendicular to df, in which case their slopes will be negative reciprocal of each other.

so the negative reciprocal of the slope of ef is 1, however the slope of df is not 1, is 1/2, so nope, they're not perpendicular lines.