A woman is four times as old as his son. five years ago, the woman was nine times as old her son was at that time. what is the present age of a woman?

Question: A woman is four times as old as his son. five years ago, the woman was nine times as old her son was at that time. what is the present age of a woman?

Let's represent the present age of the son as "x". Then, according to the problem, the present age of the woman can be expressed as 4x.

Five years ago, the age of the woman was (4x - 5), and the age of the son was (x - 5).

According to the problem, the woman was nine times as old as her son was five years ago. So we can write an equation based on this information:

4x - 5 = 9(x - 5)

Simplifying this equation, we get:

4x - 5 = 9x - 45

5x = 40

x = 8

Therefore, the present age of the son is 8 years old, and the present age of the woman is 4x = 32 years old.

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