Question

15. Two persons X and Y together have total 100 with them. If X loses half of his
money,and y loses 2/3rd of his money, they will have only 40. How much amount does Y has?
(A) 13
(B) 20
(C) 60
D) 35
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Answer 1

X+Y=100

X loses half of the money=x-. x/2=x/2

Y loses 2/3 of the money so Y has y-. 2y/3=y/3

together they constitute 40 after losing

x/2+y/3=40

3x+2y=240 ........(1)

x+y=100

2x+2y=200........(2)

(1)-(2)

3x-2x+2y-2y=240-200

x=40

x+y=100

40+y=100

so y=60

X has x=40₹

Y has y=60₹

Answer 2

Answer:

Step-by-step explanation:

X+Y=100

X loses half of the money=x-. x/2=x/2

Y loses 2/3 of the money so Y has y-. 2y/3=y/3

together they constitute 40 after losing

x/2+y/3=40

3x+2y=240 ........(1)

x+y=100

2x+2y=200........(2)

(1)-(2)

3x-2x+2y-2y=240-200

x=40

x+y=100

40+y=100

so y=60

X has x=40₹

Y has y=60