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



please help me​

Answer 1

Answer:

Step-by-step explanation:

ANSWER:-

Given that:-

• Ages of Sonu and Monu are in ratio 5:7
• Let the constant of ratio be taken as x.
• So age of Sonu is 5x
• And age of Monu is 7x.

Case given in the question:-

• Before 9 years,
• Age of Sonu was twice the age of Monu.

$\sf{5x - 9 = 2(7x - 9)}$

$\sf{5x - 9 = 14x - 18}$

$\sf{-9x = -9}$

$\sf{x = 1}$

$\boxed{\bf{So\ age\ of\ Sonu\ is\ 5\ years,}}$

$\boxed{\bf{And\ age\ of\ Monu\ is\ 7\ years.}}$

Note:-

• Always consider a ratio constant as x.
• This helps to make equations easier.
• In this, always assume the opposite of what the case is given.
• For example twice was given in respect of Sonu but the equation has been made with respect to Monu.
• Ago depicts the earlier age, so subtraction follows.

Answer 2

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

✴ 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 .

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

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

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

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

• 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.

____________________________

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

• The present ages of Sonu and Monu.

____________________________

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

Let the present age from x .

According to the question,

⭐ The ages of Sonu and monu are in

ratio 5:7.

• The present age of Monu = 5x

• The present age of Sonu = 7x

⭐ 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;

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.

_____________________________________