A father's age is three times the age of his childs. After five years of age, father's age childs would double the sum, the father's age -
please help me for this question here is not given number of child.
f = 3c
f+5 = 2(c+5)
Substitute 3c for f in the second equation and solve for c. Insert that value into the first equation to solve for f. Check by putting both values into the second equation.
age of father 15.age of son 5
To solve this question, we need to use variables to represent the ages. Let's assume the father's age is represented by "F" and the child's age is represented by "C".
According to the given information, we know that the father's age is three times the child's age. We can express this mathematically as:
F = 3C
Now, the question states that after five years, the sum of the ages of the father and the child would be doubled. To calculate the ages after five years, we need to add 5 to both the father's and child's current ages. Let's call the future ages of the father and child as "F'" and "C'" respectively.
F' = F + 5
C' = C + 5
The question also mentions that the sum of the ages after five years would double the father's age. This can be expressed mathematically as:
F' + C' = 2(F)
Now we can substitute the values of F', C', and F:
F + 5 + C + 5 = 2F
Simplifying the equation:
F + C + 10 = 2F
Now, we can isolate F by subtracting C from both sides of the equation:
F = C + 10
So, the father's age is 10 years more than the child's age.
In conclusion, the father's age is 10 years more than the child's age, regardless of the actual numbers involved.