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Tb_44

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Jul 29th, 2021
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  1. ⇝ Given :-
  2.  
  3. Amal's age is 3 times of his son Amar.
  4.  
  5. Before 10 years Amal's age was 5 times of Amar.
  6.  
  7. ⇝ To Find :-
  8.  
  9. Their Present Ages.
  10.  
  11. ⇝ Solution :-
  12.  
  13. Let,
  14.  
  15. Present Age of Amal = 3x years.
  16.  
  17. Accordingly
  18.  
  19. Present Age of Amar = x years.
  20.  
  21. ❒ 10 Years Ago :
  22.  
  23. Age of Amal = (3x - 10) years.
  24.  
  25. Age of Amar = (x - 10) years.
  26.  
  27. ⏩ According To Question :
  28.  
  29. [tex]\bold{3x - 10 = 5(x-10)} \\[/tex]
  30. [tex]:\longmapsto \rm - 10 = 5x - 50 \\[/tex]
  31. [tex]:\longmapsto \rm 3x - 5x = -50 + 10 \\[/tex]
  32. [tex]:\longmapsto \rm -2x = -40 \\[/tex]
  33. [tex]:\longmapsto x = \frac{40}{2} \\[/tex]
  34. [tex]:\longmapsto \Large \underline{\boxed{\bf{x = 20}}}[/tex]
  35.  
  36. So,
  37.  
  38. Age of Amal = 3x = 3 × 20 = 60 years
  39.  
  40. Age of Amar = x = 20 years
  41.  
  42. Hence,
  43.  
  44. [tex]\begin{cases}\text{\bf{Age of Amal}} = \bf{60 \ years} \\ \\\text{\bf{Age of Amar}} = \bf{20 \ years}\end{cases}[/tex]
  45.  
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