Question

U DU DUSU. U POVIL
A
The present age of a father exceeds that of his son by 20 years. Twenty years ago,
the
age of the father was five times that of his son. Find their present ages.
19.
​

Answer 1

Step-by-step explanation:

Let F and S be the current ages of the father and son respectively.

From the first statement: F = 5 S

From the second statement:

F - 5 = 10(S - 5).

So F - 5 = 10S - 50 or F = 10S - 45

Combining this last equation with the first:

5S = 10S - 45

=>> 45 = 5S (adding 45 to both sides and subtracting 5S from both sides)

Dividing by 5 gives us 9 = S

So the father is 45 and the son is 9.

Five years ago they were 40 and 4.