The sum of two numbers is less than 2. If we subtract the second number from the first, the difference is greater than 1. What are the two numbers?

the value of these two numbers are 1/2 and 3/2

Step-by-step explanation:

Given that:

x+y < 2 (1)

y - x > 1 (2)

From equation (2), let y  > 1 + x then substitute it into equation (1)

x + 1 + x < 2

2x + 1 < 2

2x < 2 - 1

2x < 1

x < 1/2

From equation (2), replace the value of x to be 1/2

y - 1/2 > 1

y > 1 + 1/2

y > 3/2

a is the right answer