Find two numbers sum - 12 and their difference is - 2 (chapter integers, explanation also

The values of two numbers are 5, 7

Step by Step Explanation:

Given:

Sum of two numbers is 12 and the differences of two numbers is - 2

To find:

Values of the two numbers

Solution;

Since both numbers are unknown, let the first number be x, let the second number be y.

According to question,

Sum of two numbers x+y=12

Difference of two numbers x-y=-2

Adding both the Equations,

[x+y=12]+[x-y=-2]

Solving the above two equations we get

2x=10

x=5

And we know that x+y=12

Substitute the value of x=5 we get

5+y=12

y=12-5=7

y=7

Result:

Thus the value of two numbers are 5 and 7.