Question

The ratio between the current ages of rohan and suman is 6 : 7. If suman is 4 years old than rohan, what will be the ratio of rohan and suman after 4 years?

Answer 1

Answer:

The ratio of Rohan's age and Suman's age after 4 years is 7:8

Step-by-step explanation:

Given : The ratio between the current ages of Rohan and Suman is 6 : 7.

To Find : If Suman is 4 years old than Rohan, what will be the ratio of Rohan and Suman after 4 years?

Solution :

Let age of rohan be x

Since we are given that Suman is 4 years old than Rohan

Then age of Suman = x+4

Now the ratio between the current ages of Rohan and Suman is 6 : 7.

⇒$\frac{x}{x+4} =\frac{6}{7}$

⇒$7x=6x+24$

⇒$7x-6x=24$

⇒$x = 24$

Thus Rohan's age is 24 years .

Suman's age = x+4=24+4 = 28 years

Rohan's age after 4 years = 24+4=28

Suman's age after 4 years = 28+4=32

Now the ratio of their ages after 4 years :

$\frac{28}{32} =\frac{7}{8}$

Hence The ratio of Rohan's age and Suman's age after 4 years is 7:8

Answer 2

Answer : Ratio of ages of Rohan and Suman after 4 years are 7:8

Solution:

let the present age of Rohan is x years

and of Suman is y years

so,A.T.Q

$\frac{x}{y} = \frac{6}{7} \\ \\7x - 6y = 0 \: \: \: eq1$
for second equation

$y = x + 4 \\ \\- x + y = 4 \: \: eq2$
Now solve both eq1 and eq2

$7x - 6y = 0 \\\\- 7[x + y] = 7 \times 4 \\ \\ y = 28 \\ \\ so \\ \\ - x + 28 = 4 \\ \\ x = 24$

current age of Rohan is 24 years

current age of Suman is 28 years

After 4 years

Rohan will be of 28 years

Suman will be of 32 years

Ratio
$= \frac{28}{32} \\ \\ = \frac{7}{8}$

i.e. 7:8

Hope it helps you.