The sum of two numbers is 17

The difference of those same two numbers is 3

The two numbers are 10 and 7.

10+7=17 and 10-7=3

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