Question

The ages of Ram and Rohan are in the ratio 1 : 2.After 8 years ,their ages will be in the ratio 3 : 4. Find theirs present ages.

Answer 1

Answer:

4,8

Step-by-step explanation:

Let their ages be 1x and 2x

After 8 years their ages will be

1x+8 and 2x+8

According to condition,

1x+8/2x+8= 3/4

4(1x+8)=3(2x+8)

4x+32=6x+24

6x-4x= 32-24

2x=8

x= 4

2x= 8

Hence, the age of Ram is 4 and age of Rohan is 8.

Answer 2

Given :

⬤ Ages of Ram and Rohan are in the Ratio 1:2 .

⬤ After 8 years , Their ages will be in ratio 3:4 .

To Find :

⬤ Present ages of Ram and Rohan .

Solution :

Let :

• Age of Ram and Rohan be 1x and 2x.

After 8 years :

• Ram Age = x + 8
• Rohan Age = 2x + 8

Now :

$\sf{\dfrac{x+8}{2x+8}=\dfrac{3}{4}}$

By Cross Multiplication :-

4(x + 8) = 3(2x + 8)

4x + 32 = 6x + 24

4x - 6x = 24 - 32

-2x = -8

2x = 8

x = 8/2

x = 4

Therefore , The Value of x is 24 .

Hence ,

Age of Ram = x

= 4 years

Age of Rohan = 2x

= 2(4)

= 8 years

Therefore , Age of Ram is 4 years and Age of Rohan is 8 years .