Sum of the two numbers is 21 and their difference is What is the half of the greater number?

A 7

B 6

C 9

D 12

Correct Answer: Option A

x + y = 21 .................. (1)

x - y = 7 .................. (2)

Now,

From, (1) + (2), we get,

2x = 28

or, x = 14

And, the other number is,

14 + y = 21

or, y = 21 - 14

or, y = 7

Thus,

The greater number is = 14

Half of the greater number is= 14/2 = 7