Question

Amrita is 8 years elder to her brother Aman if the ratio of their ages is 7 ratio 3 find their present age

Answer 1

$\underline{\large{\bf{\mathfrak{Solution :}}}}$

Let the age of Amrita be $\textbf{7x}$ years

So, the age of Aman be $\textbf{3x}$ years

According to Question,

7x = 3x + 8

=> 7x - 3x = 8

=> 4x = 8

=> x = 8/4

=> $\boxed{x = 2}$

•°• The age of Amrita = 7x years = 7(2)
= $\textbf{14 years}$

The age of Aman = 3x years = 3(2)
= $\textbf{ 6 years}$

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Answer 2

Let the age of Amrita be 7x years

So, the age of Aman be 3x years

According to Question,

7x = 3x + 8

=> 7x - 3x = 8

=> 4x = 8

=> x = 8/4

=> x=2

•°• The age of Amrita = 7x years = 7(2)

= 14 years

The age of Aman = 3x years = 3(2)

= 6 years