Question

If x = a and y = b is the solution of the equations x – y = 2 and x + y = 4, then the values of a and b are respectively:
(A) 3 and 5
(B) 5 and 3
(C) 3 and 1
(D) –1 and –3

Answer 1

Answer: (C) 3 and 1

Since x = a and y = b is the solution of the equations x – y = 2 and x + y = 4, then these values will satisfy that equations.
a – b = 2 .... (i)
and a + b = 4 .... (ii)
on adding Eqs. (i) and (ii), we get
2a = 6
a = 3 and b = 1
[1 mark]