Seven years from now, Anamika will be as old as Malini was 4 years ago. Srinidhi was born 2 years ago. The average age of Anamika, Malini and Srinidhi 10 years from now will be 33 years. What is the present age of Anamika?

Step-by-step solution

Let the present age of Anamika be (A ), Malini be (M ) and that of Srinidhi be (S ). The, according to the question: 1) Seven years from now, Anamika will be as old as Malini was 4 years ago. ( aligned & A+7=M-4 & M=A+11 & S=2 years aligned ) And, 2) Srinidhi was born 2 years ago. The average age of Anamika, Malini and Srinidhi 10 years from now will be 33 years. ( aligned & (A+10+M+10+S+10) 3 =33 & A+M+S+30=33 3 & A+M+S=99-30 & A+M+S=69 aligned ) Now, by substituting the above values, ( aligned & A+(A+11)+2=69 & 2