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
