Question

Dinesh and kabir has some marbles .if dinesh give kabir one marble the will both have equal number of marbles . If kabir give dinesh one marble ,dinesh will have twice the number of marbles than kabir , how many marbles does each boy have ?

Answer 1

Let Dinesh has x marbles and Kabir has y marbles.
Now it is given that if Dinesh gives 1 marble to Kabir then both have equal number of marbles
Hence x - 1 = y+1
$\Rightarrow$x-y = 2 ...........(1)
Also it is given that if Kabir gives 1 marble to Dinesh then Dinesh will have twice the marbles of Kabir
Hence 2(y-1) = x+1
$\Rightarrow$2y-2=x+1
$\Rightarrow$2y - x =3.........(2)
Adding (1) and (2) we get
x-y+2y-x = 5
$\Rightarrow$y=5
Putting y=5 in (1) we get x=7
Hence Dinesh has 7 marbles and Kabir has 5 marbles