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Clearly, number of boys in the line = (24+1+8) = 33
Number of boys to be added = (80-33) =47
Present age of Sunita = 17x
Four years ago,
Age of Ankita = 13x-4
Age of Sunita = 17x-4
A.T.Q.
Hence,
present age of Ankita = 26
Present age of Sunita = 34
Nine years hence,
Age of Ankita = 35
Age of Sunita = 43
Required Ratio = 35 : 43
The ratio of the present ages of A and B is 7 : 5.
Let present age of A = 7x
Present age of B = 5x
⇒ 12x = 24 years
⇒ x = 2 years
Hence, present age of B =
The age (in years) of B after 5 years = 10 + 5 = 15 years
Given that the ratio of the ages of A and B, 10 years ago, was 4:5.
Case-1: 10 years ago
Let age of A = 4x
age of B = 5x
Case-2: 5 years ago
age of A = 4x+5
age of B = 5x+5
According to question
⇒
⇒ x = 10
Case-3: 10 years from now
age of A = 4x+20 =
age of B = 5x+20 =
Ratio of their ages 10 years from now = 60:70 =6:7
As per the Given:Clearly, number of boys in the line = (11+1+3) = 15.
Number of boys to be added = (30-15) =15Hence, option C is correct.
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