Question

The present age of arjun and ayush are in the ratio 3:2 .Six years from now the ratio of theor abes will be 6:5 .Find their present ages

Answer 1

Arjun's present age is 6 years and  Ayush's present age is 4 years.

Step-by-step explanation:

Given,

The ratio of present ages of Arjun and Ayush = 3 : 2

Let Arjun's age = 3x, Ayush's age = 2x,

Where,

x is any positive real number,

After 6 years,

Arjun's age = 3x + 6,

Ayush's age = 2x + 6,

According to the question,

$\frac{3x+6}{2x+6}=\frac{6}{5}$

$15x+30=12x+36$

$15x=12x+36-30$

$15x-12x=6$

$3x = 6$

$\implies x = \frac{6}{3}=2$

Hence, Arjun's present age = 3(2) = 6 years,

And, Ayush's present age = 2(2)=4 years.

#Learn more:

The present age of Pratik and Arjun are the ratio 2:3. 4 years from now, the ratio of their ages will be 4:5.The present age of Pratik is _______ years

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