If $x+\frac{5}{y}=4$, and then $$y+\frac{5}{x}= -4$$ what is (x + y) equal to?

Question

Question

This question was previously asked in

NDA-I (Mathematics) Official Paper (Held On: 13 Apr, 2025)

Answer 1

Calculation:

$x+\frac{5}{y}=4$

$xy + 5 = 4y .....(1)$

$y+\frac{5}{x}= -4$

$xy + 5 = -4x .... (2)$

Subtracting 1 and 2

$(xy+5)−(xy+5)=(4y)−(−4x)$

$0=4y+4x$

$x+y=0.$

Hence, the correct answer is Option 1.

Download Solution PDF