Question

The sum of two numbers is 17 and their difference is 3
a) let the two numbers be x and y.form two equations in x and y b) solve the equation simultaneously to find the to numbers

Answer 1

Answer:

It is said that the sum of two numbers is 17 so,

x + y = 17

Therefore, we will find the value of y.

y = 17 - x

So now we got the value of y.

It is said that the difference of these two numbers is 3.

So, x - y = 3

Here we know that the value of y is 17 - x.

so we will put you value of y in this equation.

x - y = 3

x - (17 - x) = 3

x - 17 + x = 3

2x - 17 = 3

2x = 3 + 17

2x = 20

x = 20/2

x = 10.

Now we got the exact value of x that is 10.

So the value of y is,

x + y = 17

10 + y = 17

y = 17 - 10

y = 7.

So the value of x is 10 and y is 7.

Hope it helps. Have a great day ahead dear friend.