Question
Ten years ago, the ratio of ages of Anil and Sunil was
1:2, respectively. Four years hence, the ratio of ages of Anil and Raj will be 3:4, respectively. If Raj is 5 years younger than Sunil, find the age of Anil, 'a' years hence, where 'a' is the smallest two-digit odd number.Solution
ATQ, Let the ages of Anil and Sunil 10 years ago be x years and 2x years, respectively. Age of Raj 10 years ago = 2x−5 years Age of Anil now = x+10 Age of Sunil now = 2x+10 Four years hence: Age of Anil = x+10+4=x+14 Age of Raj = 2x+10+4−5=2x+9 Given: 
Solving the equation: 4×(x+14)=3×(2x+9) 4x+56=6x+27 6x−4x=56−27 x=14.5 Since 11 is the smallest two-digit odd number: Age of Anil, 11 years hence = x+10+11=14.5+10+11=35.5 years.
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