A man made a will in which he left 4/9 of his money to his wife and 2/

1.	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» 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

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»

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