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Bunty's age is twice that of Ban's. Five years ago, Bunty was three times older than Ban. Find the age of Bunty.
Question

Bunty's age is twice that of Ban's. Five years ago, Bunty was three times older than Ban. Find the age of Bunty.

A.

25 years

B.

15 years

C.

22 years

D.

20 years

Correct option is D

Given:

Bunty's age is twice that of Ban.

Five years ago, Bunty was three times older than Ban.

Solution:

Let Ban's age be x years.

Then, Bunty's age = 2x years.

Five years ago,

Bunty's age = (2x - 5) years

Ban's age = (x - 5) years

(2x - 5) = 3(x - 5)

2x - 5 = 3x - 15

2x - 3x = -15 + 5

-x = -10

x = 10

Bunty's current age:

Bunty's age = 2x = 2 × 10 = 20 years

Bunty's age is 20 years.

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