Answer:
10 and 7
Step-by-step explanation:
Let unknown numbers be x and y
x + y = 10.... (1)
x - y = 3....... (2)
This leads to simultaneous linear equations
We shall solve the equation by substitution method
From equation (1), we shall make x subject of formula to form a new equation (3)
x + y = 17
x = 17 - y ..... (3)
Now we substitute the value of x = 17 - y into equation (2)
x - y = 3
17 - y - y = 3
17 - 2y = 3
-2y = 3 - 17
-2y = -14
y = 7
Now we substitute this new value of y = 7 into equation (1)
x + y = 17..... (1)
x + 7 = 17
x = 17 - 7
x = 10
Therefore the two numbers are 7 and 10
7 + 10 = 17
10 - 7 = 3
x + 7
