If x - y = 2 and \(\frac{2}{x+y}=\frac{1}5\) then(a) x = 4, y = 2 (b

1.	If x - y = 2 and \(\frac{2}{x+y}=\frac{1}5\) then(a) x = 4, y = 2 (b) x = 5, y = 3 (c) x = 6, y = 4 (d) x = 7, y = 5
Answer» correct answer is (c) x = 6, y = 4 The given system of equations is x – y = 2 ……..(i) x + y = 10 ……..(ii) Adding (i) and (ii), we get 2x = 12 ⇒ x = 6 Now, putting x = 6 in (ii), we have 6 + y = 10 ⇒ y = 10 – 6 = 4 Thus, x = 6 and y = 4.

If x - y = 2 and \(\frac{2}{x+y}=\frac{1}5\) then(a) x = 4, y = 2 (b) x = 5, y = 3 (c) x = 6, y = 4 (d) x = 7, y = 5

Answer»

correct answer is (c) x = 6, y = 4

The given system of equations is

x – y = 2 ……..(i)

x + y = 10 ……..(ii)

Adding (i) and (ii), we get

2x = 12 ⇒ x = 6

Now, putting x = 6 in (ii), we have

6 + y = 10 ⇒ y = 10 – 6 = 4

Thus, x = 6 and y = 4.