Question
11 years from now, the age of Peter will be half the square of the age he was 13 years ago. Calculate the current age of Peter.
Answer: Option A
:
A
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A
Let Peter's current age = x years
∴ Age 13 years ago = (x−13) years
Age 11 years later = (x+11) years
According to the given statement
11 years later , the age of Peter = Half the square of the age he was 13 years ago
⇒ (x+11) = (x−13)22
⇒ 2x+22=x2−26x+169
⇒ x2−28x+147=0
⇒ x2−(21+7)x+147=0
⇒ x2−21x−7x+147=0
⇒ x(x−21)−7(x−21)=0
⇒ x=21 or x=7
Since Peter's age can't be 7 years
∴ His current age = 21 years
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