If x / y = 5 / 3 Then, (x2 +y2 + 2xy) / ( x2 +y2 - 2xy) = ?

M4maths Previous Puzzles

04 Jun 2010 find the value

If x / y = 5 / 3
Then, (x2 +y2 + 2xy) / ( x2 +y2 - 2xy) = ?

OPtion

1) 25/16
2) 15
3) 12
4) 9
5) 8
6) 4
7) 16
8) 64
9) 2
10) 5/3

Solution

(x2 +y2 + 2xy) / ( x2 +y2 - 2xy) = (x + y)2 / (x – y)2
= (5+3)2 / (5-3)2
= 64/4
=16

Correct Option: 7 Best Solution (5)