If x = a, y = b is the solution of the equations x - y = 2 and x + y = 4, then the values of a and b are respectively,

1. 3 and 5

2. 5 and 3

3. 3 and 1

4. -1 and -3

Given,

x - y = 2 ……(i)

x + y = 4 ……(ii)

Adding both the equations we get,

⇒ x - y + x + y = 2 + 4

⇒ 2x = 6

⇒ x = 3.

Substituting value of x in (i),

⇒ 3 - y = 2

⇒ y = 3 - 2

⇒ y = 1.

Hence, Option 3 is the correct option.