Question

Had Ram scored 10 more marks in his test, 9 times these marks would
have been the square of his actual marks. How many marks did he get in
the test?

Answer 1

Define x:

Let the marks be x

Solve x:

9 times of 10 more marks and his marks will be the square of his marks

9(x + 10) = x²

9x + 90 = x²

x² - 9x - 90 = 0

(x - 15) ( x + 6) = 0

x = 15 or x = - 6( negative, therefore rejected)

Answer: He scored 15 marks.