a sum of money is shared among three brother ,eidest recive 7/13 of it the next recive 2/3 of the remainder. if the youngest brother recive s6 find the sum of money shared
x(1 - 7/13 - (2/3)(6/13)) = 6
now just find x.
To find the sum of money shared, we need to work our way backwards starting with the youngest brother's share, then calculate the remainder for the second brother, and finally find the original sum.
Let's break down the given information step by step:
1. The youngest brother receives s6.
2. The next brother receives 2/3 of the remainder.
3. The eldest brother receives 7/13 of the original sum.
Let's denote the original sum of money as "x".
Step 1: Youngest brother's share
The youngest brother receives s6, so we can set up the equation:
x - (2/3)(x - s6) = s6
Simplifying the equation:
3x - 2(x - s6) = 18
3x - 2x + 2s12 = 18
x + 2s12 = 18
x = 18 - 2s12
x = 18 - 24
x = -6
Step 2: Finding the original sum
Since we have x = -6, it implies that the original sum of money cannot be negative. This means there is no solution to this problem given the information provided. Please check the values or the problem statement for any errors.