Question

The sum of two numbers is 35. Their difference is 3. Find the numbers

Answer 1

Explanation:

let x and y represent the two numbers

x+y =35. eqn 1

x-y =3. eqn 2

let eliminate x by subtracting 2 from 1

2y =32

divide both side by 3

y = 16

put y = 16 in eqn 1

x-16 =35

x = 35-16

x = 19

x =19,

y =16

Answer 2

19 and 16

Explanation:

Let x and y be the two numbers

x+y = 35

x-y =3

Add the two equations together

x+y = 35

x-y =3

---------------

2x = 38

Divide by 2

2x/2 = 38/2

x = 19

Solve for y

x-y = 3

19-y = 3

Subtract 19 from each side

19-19 -y = 3-19

-y = -16

y =16