Question

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

Answer 1

let x represent the first number=5
let y represent the second number =7
x+y=12 x+y=12 x+7=12
-1(x-y=2) + -x+y=-2 -7 -7
----------- -----------
0+2y=14 x=5
--------- Y=7
2 2

Answer 2

Answer:

The numbers are 7 and 5.

Step-by-step explanation:

Let two  unknown numbers be x and y .

Assume  $x>y$.

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

$x+y+x-y = 12 +2$

Simplify we get;

$2x = 14$

⇒ $x= 7$

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

$7+y =12$

On simplify, we get;

y = 5.