Question

The ages of aryan and arjun are in ratio 5:7 four year later their ages will be in the ratio 3:4 their ages.​

Answer 1

Step-by-step explanation:

Let the age of Aryan be 5x and the age of arjun be 7x.

After 4 years,

Aryan's age=5x+4

Arjun's age=7x+4

Now, 5x+4/7x+4 = 3/4 (cross multiplication)

4(5x+4) = 3(7x+4)

20x+16= 21x+12

21x-20x= 16-12

x= 4

Aryan's age= 5x=5×4=20years

Arjun's age=7x= 7×4= 28 years

Answer 2

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Question : The ages of aryan and arjun are in ratio 5:7 four year later their ages will be in the ratio 3:4 their ages.

Solution : Let the Present age of Aryan is = 5x years.

So, Arjun's present age will be = 7x years.

After Four Years :

$\implies$ Aryan's age = (5x+4) years ......(i)

$\implies$ Arjun's age = (7x+4) years .......(ii)

Now, According to the question : $\frac{5x+4}{7x+4}=\frac{3}{4}$

$\implies4(5x+4)=3(7x+4)$

$\implies20x+16=21x+12$

$\implies21x-20x=16-12$

$\longrightarrow$ x = 4

Put the value of x in equation (i) and (ii)

$\implies$ 5x = 5 × 4 = 20 years

$\implies$ 7x = 7 × 4 = 28 years

So, Aryan's present age = 20 years.

and Arjun's present age = 28 years.