Question

A person was asked to state his age in years fees reply was take my age 3 years hence x 3 and then subtract 3 x minus 3 years ago and you will know how old i am what was the age of

Answer 1

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$\underline{\underline{\huge{\textbf{Solution:}}}}$

$\underline{\large{\textsf{Step-1:}}}$
Assume his age as a Variable

Let the Age of person be x years

$\underline{large{\textsf{Step-2:}}}$
Take his age 3 years hence

After 3 years,
The age of person = (x+3) years

$\underline{\large{\textsf{Step-3:}}}$
Take his age 3 years ago

Before 3 years,
The age of person = (x-3) years

$\underline{\large{\textsf{Step-4:}}}$
Multiply his age 3 years hence by 3

The person's age 3 years hence multiplied by 3 $= 3(x+3)$
$= 3x+9$

$\underline{\large{\textsf{Step-5:}}}$
Multiply his age 3 years ago by 3

The person's age 3 years ago multiplied by 3 $= 3(x-3)$
$= 3x-9$

$\underline{\large{\textsf{Step-6:}}}$
Subtract the 3 times the person's age 3 years ago from 3 times the person's age 3 years hence to obtain his Age.

$\textsf{Age of person = 3(His age 3 year's hence) - 3(His age 3 years hence)}$

$\textsf{Age of the person = (3x+9)-(3x-9)}$

$\textsf{Age of the person = 3x+9-3x+9}$

$\therefore \textsf{Age of the person = \underline{18}}$

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