Question

the ratio of present age of ajay and vijay is 2 : 3. 4 years ago the ratio of their ages was 3 : 5 . what is vijay's present age (in years)?

Answer 1

$\textbf {Hey there, here is the solution.}$

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Present age:

Ratio of Ajay : Vijay = 2: 3

4years ago,

Ratio of Ajay : Vijay = 3: 5

Form equation:

Let x be the constant ratio

$\dfrac{2x - 4}{3x - 4} = \dfrac{3}{5}$

$5 (2x - 4) = 3(3x - 4)$

Solve x:

5 (2x - 4) = 3(3x - 4)

10x - 20 = 9x - 12

10x - 9x = 20 - 12

x = 8

Find their present age:

Ajay = 2x = 2(8) = 16 years old

Vijay = 3x = 3(8) = 24 years old

Answer: Ajay is 16 years old and Vijay is 24 years old

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⭐$\textbf {Cheers}$⭐