Question

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 present ages.​

Answer 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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$\underline{\bigstar\;\boldsymbol{According\;to\;the\;Question:}}$

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

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Therefore,

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

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

Answer 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

$\underline{\bigstar\:\bf{According\:to\; the\; Question\;:}}$

⟶ ( 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