A mathematician's will stated that his wife get one-third of his estate, his son one-fifth, his older daughter one-sixth, and his younger daughter $9,000. Find Out how much they received.
Answers
Step-by-step explanation:
If Mr. Mehra gave 1/3 and 1/5 of the total to his son and daughter, and the rest to his wife, we can understand that Mrs. Mehra got 8/15th of Mr. Mehra's total money. (∵ 1/3 + 1/5 = 8/15)
We can understand from this that Rs 91000 is 8/15 of the total Mr. Mehra had, which we are going to start calling xx .
So, x\frac{8}{15} = 91000x
15
8
=91000 .
Which in turn means \frac{8x}{15} = 91000
15
8x
=91000 . Now, we can use Algebra to solve for xx .
\begin{gathered}\frac{8x}{15} = 91000 \\\\ 8x = 91000(15) \\ 8x = 1365000 \\\\ x = \frac{1365000}{8} \\ x = 170625\end{gathered}
15
8x
=91000
8x=91000(15)
8x=1365000
x=
8
1365000
x=170625
Therefore, Mr. Mehra had Rs 1,70,625 in total. at the beginning.
CHECK:
170625(\frac{8}{15}) = 91000170625(
15
8
)=91000
hence proved.
Ans: Rs 1,70,625