ajay said to ragu if you lend one five rupees both of us will have equal amount. Ragu said to Vijay if you lend me five rupees I will have the five times amount as you. what amount does each of them have now?

The amount of money Ajay has now is 10 rupees

The amount of money Ragu has now is 20 rupees

Step-by-step explanation:

Let the amount of money Ajay has now = X

Let the amount of money Ragu has now = Y

Ajay said if Ragu lends him 5 rupees, both of them will have the same amount of money, therefore, we have;

X + 5 = Y - 5(1)

Y   = X + 5 + 5 = X + 10(2)

Ragu said if Ajay lends him 5 rupees, he would have five times the amount of money left with Ajay, therefore, we have;

Y + 5 = 5 × (X - 5) = 5·X - 25

Y + 5 = 5·X - 25 (3)

Y  = 5·X - 25 - 5 = 5·X - 30(4)

Therefore we have;

X + 10 = 5·X - 30

10 + 30 = 5·X - X

40 = 4·X

X = 40/4 = 10 rupees

Y = X + 10 = 10 + 10 = 20 rupees

Which gives;

The amount of money Ajay has now = 10 rupees

The amount of money Ragu has now = 20 rupees.