Question

The difference of two numbers is 29. The sum of the two numbers is 33. What are the two numbers?

Answer 1

x=31, y=2. (31, 2).

Explanation:

x-y=29

x+y=33

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x=y+29

y+29+y=33

2y+29=33

2y=33-29

2y=4

y=4/2

y=2

x-2=29

x=29+2

x=31

Answer 2

31,2

Explanation:

we can represent the numbers with two variables, x and y.

So the difference of them is 29.

x-y=29

Their sum is 33.

x+y=33

we can find the answer with a system of equations.

`\left \{ {{x-y=29} \atop {x+y=33}} \right.`

x=29+y x=31 S{31,2}

y+29+y=33

2y=4

y=2