Question

plz help urgent hai ✋✋✋​

Answer 1

$\mathfrak{\huge{\underline{\red{Question\:?}}}}$

✴ The ages of Sonu and monu are in ratio 5:7. If 9 years ago,the age of Sonu would have been twice the age of monu. Find their ages .⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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$\mathcal {\huge{\underline{\green{Answer:-}}}}$

✒ The present ages of Sonu is 7 years and Monu is 5 years.⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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$\mathtt{\huge{\underline{\orange{Solution:-}}}}$⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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$\huge\sf\pink{Given:-}$

The ages of Sonu and monu are in ratio 5:7.

9 years ago,the age of Sonu would have been twice the age of monu.

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$\huge\sf\purple{To\:Find:-}$⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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The present ages of Sonu and Monu.

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$\huge\sf\blue{Calculation:-}$⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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Let the present age from x .

According to the question,

⭐ The ages of Sonu and monu are in

ratio 5:7.⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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The present age of Monu = 5x

The present age of Sonu = 7x⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⭐ 9 years ago,the age of Sonu would have been twice the age of monu.

9 years ago Monu's age = 5x - 9

Monu's age 9 years younger = 7x-9

According to the given condition; ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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Our equation will be => 5x - 9 = 2 (7x -9 )

Solving ; 5x - 9 = 2 ( 7x - 9 )

➝ 5x - 9 = 2 ( 7x - 9 )

➝ 5x - 9 = 14 x - 18

➝ 5x - 14x = - 18 + 9

➝ 9 x = 9

➝ x = $\cancel{\dfrac{9}{9}}$

➝ x = 1

We Considered;

The present age of Monu ;

=> 5x = 5 × 1 = 5 years

The present age of Sonu ;

=> 7x = 7 × 1 = 7 years.

➡ Hence, Now Monu is 5 years old & Sonu is 7 years old.

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