A man made a will in he left 4/9of his money to his wife and 2/5 of the remaining to his eldest child. The rest were to be shared among his four younger children. If each of the younger children received #108,000, what was his wife's share?
4/9 + 2/5 = 38/45
So, 7/45 x = 4*108000
Now you solve for x, which is the total amount of money, and 4/9 went to the wife.