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  • 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 (A) 3 and 5 (B) 5 and 3 (C) 3 and 1 (D) –1 and –3

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
(A) 3 and 5
(B) 5 and 3
(C) 3 and 1
(D) –1 and –3

Answers (1)

Answer : (C)
Solution:
Equation are    x – y = 2 … (1)
x + y = 4 … (2)
Add equation (1) and (2)
x – y = 2
x + y = 4
2x = 6
x = 3
Put x = 3 in equation (2)
3 + y = 4
y = 4 – 3
y = 1
it is given that a = x, b = y
Hence a = 3, b = 1

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