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
Solution:
(c) 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
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