The age of a man and his son adds up to 36years old.if the father is 30years more than his son .how old is the father and the son?

s + (s+30) = 36

2 s = 6
s = 3
f = 33

To determine the ages of the father and the son, we need to set up a system of equations based on the given information.

Let's say the son's age is x years.

According to the problem, the father is 30 years older than the son. So, the father's age would be x + 30 years.

The problem also states that the sum of their ages is 36 years. So, we can write the equation:

x + (x + 30) = 36

Simplifying the equation, we have:

2x + 30 = 36

Subtracting 30 from both sides:

2x = 6

Dividing both sides by 2:

x = 3

So, the son's age is 3 years.

To find the father's age, we can substitute the value of x into one of the equations:

Father's age = x + 30
= 3 + 30
= 33

Therefore, the father is 33 years old and the son is 3 years old.