Verified answer

Given :

• The ages of Mohan and and Sohan are in the ratio 5:7.
• If mohan was 9 years older and sohan 9 years younger, then their ages would be in ratio 2:1.

To Find :

• Present Ages of Mohan and Sohan

Solution :

Now ,

• If mohan was 9 years older and sohan 9 years younger :

A.T.Q :

Value of x is 3 .

Therefore :

Verified answer

Step-by-step explanation:

Given :

• The ages of Mohan and Sohan are in the ratio 5 : 7.
• If Mohan was 9 years older and Sohan 9 years younger.
• Then, their ages would be in the ratio 2 : 1.

To find :

• Their present ages.

Solution :

Let the present ages of Mohan and Sohan be:

• 5a years
• 7a years

If Mohan was 9 years older and Sohan 9 years younger, their ages will be:

• 5a + 9
• 7a - 9

Now, their ages are in the ratio 2 : 1:

=> (5a + 9)/(7a - 9) = 2/1

=> 1(5a + 9) = 2(7a - 9)

=> 5a + 9 = 14a - 18

=> 5a - 14a = -18 - 9

=> -9a = -27

=> a = -27/-9

=> a = 27/9

=> a = 3

Their present ages are:

=> Mohan (5a) = 15 years

=> Sohan (7a) = 21 years

Verification :

=> (5a + 9)/(7a - 9) = 2/1

=> (15 + 9)/(21 - 9) = 2/1

=> 24/12 = 2/1

=> 2/1 = 2/1

∴ L.H.S = R.H.S

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