Question

Had Aarush scored 8 more marks in a Mathematics test, out of 35 marks, 7 times these marks would have been 4 less than square of his actual marks. How many marks did he get in the test?

Answer 1

Let the actual marks be x.

According to the question,

7(x + 8) = x² – 4

⇒ 7x + 56 = x² – 4

⇒ x² – 7x – 60 = 0

⇒ x² – 12x + 5x – 60 = 0

⇒ x(x – 12) + 5(x – 12) = 0

⇒ (x – 12)(x + 5) = 0

⇒ x –12 = 0 or x + 5 = 0

⇒ x = 12 or x = –5

⇒ x = 12  ...[∵ Marks can’t be negative]

Hence, Aarush scored 12 marks in the Mathematics test.