Aptitude Problems on Ages Concepts and Formulas

Points to remember:

1) t years ago the age of A was n₁ times the age of B, and at present A's age is n₂ times that of B, then;
A's present age = n₂∗t years
And, B's present age = t years

2) The present age of A is n₁ times the present age of B. After t years, age of A becomes n₂ times the age of B, then;
A's present age = n₂ ∗ t years
And, B's present age = t years

3) t₁ years ago, the age of A was X times the age of B and after t₂ years age of A becomes Y times the age of B, then;
A's present age = + t1 years

And B's present age = years

4) The sum of present ages of A and B is X years, t years ago, the age of A was Y times the age of B, then;
Present age of A = Years

And, the present age of B = Years

5) The sum of present ages of A and B is X years, t years after, the age of A becomes Y times the age of B, then;
A's present age = Years

And B's present age= Years

6) The ratio of the present ages of A and B is p: q and after t years, it becomes r: s, then;
A's present age = Years

And, B's present age = Years