Question

Here's the question!​

Answer 1

(1/4) and (3/4)

Explanation:

Let x and y be the two numbers.

We are told their sum is 1, which we can write as:

x+y = 1

We are also told their difference is 1/2, which we can write as:

x - y = (1/2)

Rearrange this to solve for one of the two variables. Let's solve for x:

x = (1/2) + y

Now use this definition of x in the first equation:

x+y = 1

((1/2) + y)+y = 1

2y + (1/2) = 1

2y = (1/2)

y = (1/4)

Since x + y = 1,

x must be (3/4)

CHECK:

Is their sum 1? (1/4)+(3/4)=1 YES

Is their difference (1/2)? (3/4)-(1/4) = (1/2) YES