Question

Five years ago, Deepika was twice as old as Kanchan. Five years later, Deepika's age will be 5 more than Kanchan's age. Find their present ages.​

Answer 1

• Deepika - 15
• Kanchan - 10

Explanation:

Given an age difference of 5 years and that Deepika was twice Kanchan's age five years ago, you want their present ages.

5 years ago

The relation five years ago between Deepika's age (d) and Kanchan's age (d-5) was ...

d = 2(d-5)

d = 2d -10 . . . eliminate parentheses

10 = d . . . . . . . add 10-d

(d -5) = 10 -5 = 5

Ages now

At present, the ages are ...

Deepika = 10 +5 = 15

Kanchan = 5 +5 = 10

__

Additional comment

The age difference always remains the same, so the difference 5 years ago is the same as the difference 5 years later.