Answer:
Explanation:
Let's assume the father's current age is F, and the son's current age is S.
Five years ago a father's age was 4 times his son's age.
This statement implies that five years ago, the father's age was F - 5, and the son's age was S - 5. According to the given information, we can set up the equation:
F - 5 = 4(S - 5)
Now, the sum of their ages is 45 years.
The sum of their ages now is F + S. According to the given information, we can set up the equation:
F + S = 45
Now we have two equations with two unknowns. We can solve them simultaneously to find the values of F and S.
Let's solve the first equation for F:
F - 5 = 4S - 20
F = 4S - 20 + 5
F = 4S - 15
Substitute this value of F in the second equation:
4S - 15 + S = 45
5S - 15 = 45
5S = 45 + 15
5S = 60
S = 60 / 5
S = 12
Now substitute the value of S back into the equation for F:
F = 4S - 15
F = 4(12) - 15
F = 48 - 15
F = 33
Therefore, the father's present age (F) is 33 years, and the son's present age (S) is 12 years.