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- ⇝ Given :-
- Amal's age is 3 times of his son Amar.
- Before 10 years Amal's age was 5 times of Amar.
- ⇝ To Find :-
- Their Present Ages.
- ⇝ Solution :-
- Let,
- Present Age of Amal = 3x years.
- Accordingly
- Present Age of Amar = x years.
- ❒ 10 Years Ago :
- Age of Amal = (3x - 10) years.
- Age of Amar = (x - 10) years.
- ⏩ According To Question :
- [tex]\bold{3x - 10 = 5(x-10)} \\[/tex]
- [tex]:\longmapsto \rm - 10 = 5x - 50 \\[/tex]
- [tex]:\longmapsto \rm 3x - 5x = -50 + 10 \\[/tex]
- [tex]:\longmapsto \rm -2x = -40 \\[/tex]
- [tex]:\longmapsto x = \frac{40}{2} \\[/tex]
- [tex]:\longmapsto \Large \underline{\boxed{\bf{x = 20}}}[/tex]
- So,
- Age of Amal = 3x = 3 × 20 = 60 years
- Age of Amar = x = 20 years
- Hence,
- [tex]\begin{cases}\text{\bf{Age of Amal}} = \bf{60 \ years} \\ \\\text{\bf{Age of Amar}} = \bf{20 \ years}\end{cases}[/tex]
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