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 . The rest was to be shared equally among his four younger children . If each of the younger children received N108000 what was his wife's share?

Answer 1

Let X be the amount of money the man had.
His wife received 4/9 * X.
The remainder is X - 4/9 * X = 5/9 * X.
His eldest child received 2/5 * 5/9 * X = 2/9 * X.
The younger children received 5/9 * X - 2/9 * X = 3/9 * X.
Each of the younger children received 108000, so 3/9 * X = 108000.
X = 108000 * 9/3 = <<108000*9/3=324000>>324000.
The wife's share is 4/9 * 324000 = 4/9 * 324000 = <<4/9*324000=144000>>144000. Answer: \boxed{144000}.