Aptitude - Problems on Ages - Discussion

10 years ago,
Father age is = (3x - 10).
Son age = x.

10 years now.

Father age = 3x - 10 + 10 -------> (2).
Son age is 2 (x + 10) = 2x + 20 -------> (1).

1 = 2.

3x - 10 + 10 = 2x + 20.
x = 20.

Please solve this.

I am Jamzeer Narayan Mahato.

The present age of the father is four times the age of his son, when the son will be as old as his father now, the sum of their ages will be 99, find their present ages.

Thank in advance.

@Angeline

Your age is 26.

My age 7 years from now is three times my age 15 years ago. What is my present age?

If father's present age is x and how we have to treat x + 3 or 3x in the question?

They mention like son age is 3 times than father age in 3 years hence.

I need an answer to this question and way of solving.

The present age of the father is four times of his son. When will the son be as old as a father now their ages will be 99 find their present ages?

Hi.

Let as consider
Father's age = x.
Son's age = y.

=> 10 year Ago Father's age is x - 10 = 3(y-10) -----> Equation 1.
=> After 10 years Father's age x + 10 = 2(y+10) ------> Equation 2.

Solve 2 equation......
=> x - 10 = 3y - 30.
x - 3y = - 20 --> Equation 3.
=> x - 2y = 10 --> New Equation 4.
=> Substract Equation 3 from Equation 4.
x - 3y = - 20
x - 2y = 10
----------------
- y = - 30.

So, y = 30 --> age of son.

Then put y =30 into any equation.

x - 2(30) = 10
x - 60 = 10.
x = 70 --> age of father.

x = 7.
y = 3.

I hope, this will help you.

@All.

Short trick formula =(10(3-1) + 10(2-1))3 - 2.
= 30 son age present.

10 years ago son's age =30 - 10 = 20.

The age of the father 10 years ago was thrice the age of his son,
20 * 3 = 60.
Father's present age = 60 + 10 = 70
Ratio father and son's age = 70 : 30 => 7 : 3.

In all these questions, we simply assuming son's age as x and father 's age as nx (n=number given).

And why in this question alone we are assuming son's age as x and father 's age as y.

Pleas say the difference.

5 years ago, the sum of ages of father and his son was 30 years. 3 years hence the sum of their ages would be?

Can anyone answer it?