Question

If Ram gives Sita one of the marbles from what he possesses then they will have equal no. of marbles. If Sita gives one of the marbles from what she possesses to Ram then Ram will have double of what Sita is left with. Find the number of marbles possessed by both of them initially.

Answer 1

Answer:

Ram had 7 marbles

Sita had 5 marbles

Step-by-step explanation:

Let Ram = x marbles

Let Sita = y marbles

If Ram gives Sita one of the marbles from what he possesses then they will have equal no. of marbles

x-1 = y+1

x-y = 2 ................... (i)

If Sita gives one of the marbles from what she possesses to Ram then Ram will have double of what Sita is left with.

x+1 = 2(y-1)

x+1=2y-2

x-2y= -3 ................ (ii)

Solve (i) and (ii) simultaneously by elimination of x

x-y = 2

x-2y= -3

y = 5

x = 7

Ram had 7 marbles

Sita had 5 marbles

Answer 2

Let the number of marbles Ram and Sita have are x and y respectively.

According to first condition,

x-1 =  y + 1

x - y = 2  ......a

According to second condition,

2(x+1) = y-1

2x - y = 1 ........b

Solving we have ,

x = 7 and y = 5

Ram and Sita have are 7 and 5 respectively.