Question

99x + 101y = 499;101x + 99y = 501
तर x + y = ?


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Answer 1

Answer:

x + y = 5

Step-by-step explanation:

99x + 101y = 499 ----------- (i)

101x + 99x = 501 ------------ (ii)

(ii) - (i) => 2x -2y = 2

=> x - y = 1 -----( iii )

Now (iii) => x = 1 + y -------- (iv)

By putting x= 1+ y in (i) we get

99( 1+y) + 101 = 499

=> 99 + 99y + 101y = 499

=> 200y = 499 - 99

=> y = 400/200

So, y = 2

y= 2 => x = 1+ 2 ( from (iv) )

so , x= 3

Hence , x + y = 3+ 2 = 5