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If x = a and y = b is the solution of th...

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

Text Solution

Verified by Experts

The correct Answer is:
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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