The sum of 2 numbers is 8 and difference is 2

Answer 1

Just convert the sentence into equation as:

Let the two numbers be a and b

a + b = 8 ------1 { Since, Sum of the two numbers is 8 }

a - b = 2 ------2 { Since, Difference of the two numbers is 2 }

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Adding both these equations now,

a + a = 2a

b - b = 0

8 + 2 = 10

So, 2a = 10

a = 10/2

a = 5, Substitute in equation ----1

a + b =8

5 + b = 8 { Bring 5 to the right side of the equation }

b = 8 - 5

b = 3

Hence, a = 5 and b = 3 are the numbers, you can check the answers : 5 + 3 = 8 and 5 - 3 = 2

Hope this helps, if you have any further doubts, message me, i am available anytime to clarify

Answer 2

Lets start by assigning our two numbers to be x and y.

We know that x+y=8 and x-y=2

Using the second equation, we can solve for x

x=2+y

Now plug this expression for x into the first equation.

2+y+y=8

2+2y=8

2y=6

y=3

Now plug in y=2 to solve for x

x+3=8

x=5

Our solution is x=5, y=3

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