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After 24 years, Rama will be 5 times as old as he is now . Find his Present Age .​

User Sacheie
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2 Answers

10 votes
10 votes

Given :

  • After 24 years, Rama will be 5 times as old as he is now .

To Find :

  • Rama's Present Age .

Solution :

  • Let us assume the present age of Rama as x years .
  • So, 5 times of his age will be 5x years.

Now,

According to the Question :


{ \longrightarrow {\qquad {\sf 5x = x + 24 }}}

Subracting x from both sides we get :


{ \longrightarrow {\qquad {\sf 5x - x= x - x+ 24 }}}


{ \longrightarrow {\qquad {\sf 4x= \cancel{x} \: \: \cancel{- x}+ 24 }}}


{ \longrightarrow {\qquad {\sf 4x= 24 }}}

Dividing both sides by 4 we get :


{ \longrightarrow {\qquad {\sf (4x)/(4) = (24)/(4) }}}


{ \longrightarrow {\qquad \pmb {\bf x= 6 }}}

Therefore,

  • Rama's present age is 6 years.
User Glenn Utter
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3.1k points
9 votes
9 votes

Question :-

  • After 24 years, Rama will be 5 times as old as he is now . Find his Present Age .

Answer :-

  • Present Age of Rama is 6 Years .


\rule {180pt} {2pt}

Given :-

  • After 20 years, Rama will be 5 times as old as he is Now .

To Find :-

  • Present Age of Rama = ?

Solution :-

As per the provided information in the given question, we have been given that After 20 years, Rama will be 5 times as old as he is now. And, we have been aksed to calculate Present Age of Rama.

Let :-

  • The Present Age of Rama be x .

Therefore :-


\longmapsto \: \: \:\sf{x \: + \: 24 \: = \: 5x} \\


\longmapsto \: \: \sf{24 \: = \: 5x \: - \: x} \\


\longmapsto \: \: \sf{24 \: = \: 4x} \\


\longmapsto \: \: \sf{x \: = \: (24)/(4) } \\


\longmapsto \: \: \textbf{ \textsf{x \: = \: 6 }}

Hence :-

  • Present Age of Rama = 6 years .


\underline {\rule {180pt} {4pt}}

User William Carter
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2.8k points