The sum of two integers is 10. their difference is 4. what are the two intergers

Answer: x = 7, y = 3

Step-by-step explanation:

Since they are integers, it means they are whole numbers.

Let the first number be x and the second number be y, then, interpreting the question, we have

x + y = 10 ... equation 1

x - y = 4 ... equation 2

solving the resulting simultaneous linear equation by substitution method.

From equation 2, make x the subject of the formula, that is

x = 4 + y ... equation 3

substitute x = 4 + y into equation 1, equation 1 becomes

4 + y + y = 10

4 + 2y = 10

subtract 4 from both sides

2y = 10 - 4

2y = 6

divide through by 2

y = 3

substitute y = 3 into equation 3 to find the value of x

x = 4 + y

x = 4 + 3

x = 7

Therefore : x = 7 and y = 3