Question 1119050
let x equal the original amount of money.


the eldest receive 7/13 of it, which is 7/13 * x.


what remains is 6/13 * x.


the next eldest receives 2/3 of that.


what remains is 1/3 of that, which is 1/3 * 6/13 * x = 6/39 * x.


the youngest receives 6 dollars, which is presumably the rest of the money.


therefore, 6/39 * x = 6


solve for x to get:


x = 39 * 6 / 6 = 39.


the original sum of money is 39.


the eldest receives 7/13 of 39 = 21 dollars.


what is left is 18 dollars.


the next receives 2/3 of 18 dollars = 12 dollars.


what is left is 6 dollars.


that's what the youngest gets.


the solution looks good.


the solution is:


the sum of money shared is 39 dollars.