Question

A man made a will in which he left 4/9 of his money to his wife and 2/5 of the remainder to his eldest child. rec. The rest was to be shared equally among his four children respectively. What was his wife's share

Answer 1

Correct Question :-

A man made a bill in which he left 4/9 of his money to his wife and 2/5 of the remainder to his eldest child . The rest was to be shared equally among his four children respectively . If each of the younger children recieved 108000 . what was his wife share

Solution :-

Let the total money be x

If he left 4/9 of his money to his wife ,then the share of wife = 4x/9

Remaining money = x - 4x/9

By taking LCM

Remaining money = 9x - 4x/9

Remaing money = 5x/9

According to the question ,

2/5 of the remainder to his oldest child is :-

Therefore,

2/5 * 5x/ 9

= 2x/ 9

Therefore , The rest money left

x - 4x/9 - 2x/9

9x - 4x - 2x /9

9x - 6x/9

3x/9

= x/ 3

Now , The rest money is shared in 4 equal parts

Therefore,

(x/ 3 )/ 4

= x / 12

Each of the younger children get 108000

Therefore,

x / 12 = 108000

x = 108000* 12

x = 1296000

Hence , The total money is 1296000

Now , calculating wife shares

4/9 * 1296000

= 576000