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

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

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