Respuesta :
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 .
[tex] \rule {180pt} {2pt} [/tex]
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 :-
[tex] \longmapsto \: \: \:\sf{x \: + \: 24 \: = \: 5x} \\ [/tex]
[tex] \longmapsto \: \: \sf{24 \: = \: 5x \: - \: x} \\ [/tex]
[tex] \longmapsto \: \: \sf{24 \: = \: 4x} \\ [/tex]
[tex] \longmapsto \: \: \sf{x \: = \: \dfrac{24}{4} } \\ [/tex]
[tex] \longmapsto \: \: \textbf{ \textsf{x \: = \: 6 }} [/tex]
Hence :-
- Present Age of Rama = 6 years .
[tex] \underline {\rule {180pt} {4pt}} [/tex]
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 :
[tex]{ \longrightarrow {\qquad {\sf 5x = x + 24 }}}[/tex]
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Subracting x from both sides we get :
[tex]{ \longrightarrow {\qquad {\sf 5x - x= x - x+ 24 }}}[/tex]
[tex]{ \longrightarrow {\qquad {\sf 4x= \cancel{x} \: \: \cancel{- x}+ 24 }}}[/tex]
[tex]{ \longrightarrow {\qquad {\sf 4x= 24 }}}[/tex]
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Dividing both sides by 4 we get :
[tex]{ \longrightarrow {\qquad {\sf \dfrac{4x}{4} = \dfrac{24}{4} }}}[/tex]
[tex]{ \longrightarrow {\qquad \pmb {\bf x= 6 }}}[/tex]
⠀
Therefore,
- Rama's present age is 6 years.
