 Hello and welcome to the session. Let us understand the following problem today. One says, give me a hundred friend. I shall then become twice as old as which as you. The other replies, if you give me ten, I shall be six times as which as you. Tell me what is the amount of their respective capital from the Bija Ganeeta of Bhaskara too. Now let us write the solution. Let two friends B, A and B also let A have rupees X and let B have rupees Y. Now it is given the question, A says to B, give me a hundred friend, I shall become twice as rich as you. So when A gets rupees hundred, he has rupees X plus hundred and when B gives rupees hundred, he has rupees Y minus hundred. Now according to question, A becomes twice as rich as B, therefore X plus hundred is equal to twice of Y minus hundred. Now it is given the question that B says to A, if you give me ten, I shall be six times as rich as you. Now when A gives rupees ten, he has rupees X minus ten and when B gets rupees ten, he has rupees Y plus ten. Now according to question, B becomes six times as rich as A, therefore Y plus ten is equal to six multiplied by X minus ten. Now the two equation we have got are X plus hundred is equal to two Y minus two hundred or X minus two Y is equal to minus three hundred. This is our equation one and now the other one is Y plus ten is equal to six X minus six T or Y minus six X is equal to minus seven T. This is our equation two. Now solving equations one and two, we get for that multiplying equation two by two. Now first, writing equation one as it is, so we get X minus two Y is equal to minus three hundred and multiplying this equation by two, so we get minus twelve X plus two Y is equal to minus one forty. Now adding this, this gets cancelled and X minus twelve X is equal to minus eleven X is equal to minus three hundred minus one forty is equal to minus four forty. Now minus and minus gets cancelled and X is equal to four forty by eleven which implies X is equal to forty. Now substituting X is equal to forty in equation one we get X minus two Y plus three hundred is equal to zero is our equation one. So X is equal to forty which implies forty minus two Y plus three hundred is equal to zero which implies minus two Y is equal to minus three forty. This minus and minus gets cancelled which implies Y is equal to three forty by two which implies this gets cancelled by one seventy therefore Y is equal to one seventy. Now hence rupees forty and rupees one seventy is the required answer. I hope you understood the problem. Bye and have a nice day.