Question

Mohan was thrice as Manju 6 years
back , Mohan will be 5/3 times old as
Manju 6 years Hence? How old
is Manju today?​

Answer 1

Solution:

6 years ago:

Let the age of Manju 6 years ago be x years.

Then according to the question, the age of Mohan 6 years ago will be 3x years.

Present ages:

Present age of Manju = (Age of Manju 6 years ago) + 6 = (x + 6) years

Present age of Mohan = (Age of Mohan 6 years) + 6 = (3x + 6) years

6 years hence:

Age of Manju 6 years hence = (Present age of Manju) + 6 = (x + 6) + 6 = (x + 12) years

Present age of Mohan = (Present age of Mohan) + 6 = (3x + 6) + 6 = (3x + 12) years

According to the question,

6 years hence, age of Mohan = 5/3(age of Manju)

So,

3x + 12 = 5/3(x + 12)

=> 3(3x + 12) = 5(x + 12)

=> 9x + 36 = 5x + 60

=> 9x - 5x = 60 - 36

=> 4x = 24

=> x = 6

So,

• present age of Manju = (x + 6) = (6 + 6) = 12 years
• present age of Mohan = (3x + 6) = {(3 * 6) + 6} = 24 years

Answer 2

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