Question

The sum of two numbers is 14 and their difference is 6.

Answer 1

Answer:

x + y = 16

+(x - y = 6)

2x = 22

x =11

y = 5

Answer 2

Answer:10 and 4

Step-by-step explanation:

let one number x and another number y such (x+y=14) and (x – y =6)

Also x+y=14 be equation 1 and

x – y = 6 be equation 2

From equation 1 we will make x the subject of formula. Ie; x = 14 – y

And let x = 14 – y be equation 3.

Substitute equation 3 into equation 2

Ie every where I see x in equation 2,I replace it by x = 14 – y

=> (14 – y) – y = 6

=> 14 – y – y = 6

=> 14 – 2y = 6

=> -2y = 6 – 14

Now we decide both sides of the equal sign by negative two (-2)

=> (-2y)/(-2) = (-4)/(-2)

=> y = 4

let y = 4 be equation 4

Substitute equation 4 into equation 3

=> x = 14 – y

=> x = 14 – 4

=> x = 10

Hence the two numbers such that their sum is 14 and their difference is 6 are 10 and 6