Given :
- After 24 years, Rama will be 5 times as old as he is now .
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To Find :
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Solution :
- Let us assume the present age of Rama as x years .
- So, 5 times of his age will be 5x years.
Now,
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According to the Question :
![{ \longrightarrow {\qquad {\sf 5x = x + 24 }}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/a178w62r0oybmuy6vzxkki1zzasow1cefk.png)
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Subracting x from both sides we get :
![{ \longrightarrow {\qquad {\sf 5x - x= x - x+ 24 }}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/z3yljgulbdqy0o6j5ck2ui58nn0bk1awwm.png)
![{ \longrightarrow {\qquad {\sf 4x= \cancel{x} \: \: \cancel{- x}+ 24 }}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/ghqednfb7yrtq02hztr5ar2k809quckyhr.png)
![{ \longrightarrow {\qquad {\sf 4x= 24 }}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/eid6nzvnfo3aydwbb1fnie91xpo80ci4gr.png)
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Dividing both sides by 4 we get :
![{ \longrightarrow {\qquad {\sf (4x)/(4) = (24)/(4) }}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/ir7xi2vybjhpnsaeg2jtstwlxlkfboz4kj.png)
![{ \longrightarrow {\qquad \pmb {\bf x= 6 }}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/7hn7hs7vrhx1middia254kdkmzzgbkbzvq.png)
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Therefore,
- Rama's present age is 6 years.