The Present age of Rohit’s mother is 3 times the present age of Rohit. After 5 years their ages will add to 66 years. Find their p

2 thoughts on “The Present age of Rohit’s mother is 3 times the present age of Rohit. After 5 years their ages will add to 66 years. Find their p”

1. ❍ Let’s say, that the present age of Rohit be x and according to the given condition, the age of Rohit’s mother be 3x respectively.

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   — After 5 years, their ages:

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   • Mother’s age = (3x + 5) years
   • Rohit’s age = (x + 5) years

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   [tex]\underline{\bigstar\;\boldsymbol{According\;to\;the\;Question:}}[/tex]

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   • After five years, their ages will add to 66.

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   Therefore,

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   [tex]:\implies\sf{(3x+5)+(x+5)=66}\\\\\\\\:\implies\sf{4x+10=66}\\\\\\\\:\implies\sf{4x=66-10}\\\\\\\\:\implies\sf{4x=56}\\\\\\\\:\implies\sf{x=\cancel{\dfrac{56}{4}}}\\\\\\\\:\implies\underline{\boxed{\pink{\pmb{\frak{x=14}}}}}{\;\bigstar}[/tex]

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   Hence,

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   • Rohit’s age = x = 14 years
   • Mother’s age = 3x = 3(14) = 42 years

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   [tex]\therefore\;{\underline{\sf{Hence,\;their\;present\;ages\;are\;{\textsf{\textbf{14\;years}}}\;\&\;{\textsf{\textbf{42\;years}}}}.}}[/tex]⠀⠀⠀⠀

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2. Given :-

   • The Present age of Rohit’s mother is 3 times the present age of Rohit.

   • After 5 years their ages will add to 66 years.

   To Find :-

   • Find their present ages.​

   Solution :-

   ~ Let the present age of Rohit be ‘ x ‘

   Present ages :-

   • Rohit’s age = ( x ) years

   • Rohit’s mother age = ( 3x ) years

   After 5 years :-

   • Rohit’s age = ( x + 5 ) years

   • Rohit’s mother age = ( 3x + 5 ) years

   [tex]\underline{\bigstar\:\bf{According\:to\; the\; Question\;:}}[/tex]

   ⟶ ( 3x + 5 ) + ( x + 5 ) = 66

   ⟶ 3x + 5 + x + 5 = 66

   ⟶ 4x + 10 = 66

   ⟶ 4x = 66 – 10

   ⟶ 4x = 56

   ⟶ x = 56/4

   ⟶ x = 14

   Finding their present ages :-

   • Present age of Rohit = x = 14 years

   • Present age of Rohit’s mother = 3x = 14 × 13 = 42 years

   Henceforth,

   • Present age of Rohit is 14 years and his mother is 42 years

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