Question

the ages of Rohan and Sohan are in the ratio 5 :7 . 4 years from now the ratio of Ages will be 3 :4. find the present ages.​

Answer 1

Answer:

$\large\boxed{\sf{20\;yrs \;\;and\;\;28\;yrs.}}$

Step-by-step explanation:

Given that , ratio of ages of Rohan and Sohan is 5:7.

So, let their present ages be 5x and 7x respectively.

After 4 years:

Their respective ages will be (5x + 4) and (7x + 4).

Also, ratio of ages after 4 years = 3:4

Therefore, we get

$= > \dfrac{5x + 4}{7x + 4} = \dfrac{3}{4} \\ \\ = > 4(5x + 4) = 3(7x +4 ) \\ \\ = > 20x + 16 = 21x + 12 \\ \\ = > 21x - 20x = 16 - 12 \\ \\ = > x = 4$

Therefore, the present ages of Rohan and Sohan are 20 yrs. and 28 yrs respectively.

Answer 2

Step-by-step explanation:

Step-by-step explanation:

Given that , ratio of ages of Rohan and Sohan is 5:7.

So, let their present ages be 5x and 7x respectively.

After 4 years:

Their respective ages will be (5x + 4) and (7x + 4).

Also, ratio of ages after 4 years = 3:4

Therefore, we get

\begin{gathered} = > \dfrac{5x + 4}{7x + 4} = \dfrac{3}{4} \\ \\ = > 4(5x + 4) = 3(7x +4 ) \\ \\ = > 20x + 16 = 21x + 12 \\ \\ = > 21x - 20x = 16 - 12 \\ \\ = > x = 4\end{gathered}

=>

7x+4

5x+4

=

4

3

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

=>20x+16=21x+12

=>21x−20x=16−12

=>x=4

Therefore, the present ages of Rohan and Sohan are 20 yrs. and 28 yrs respectively