The sum of a number and its square is 240. The number is :

(a) 12
(b) 14
(c) 15
(d) 16

Anurag Mishra Professor Asked on 19th January 2016 in Maths.
Add Comment
1 Answer(s)

Answer: (c) 15 

Explanation:-
Let the number be X. 

The sum of a number and its square is 240. 
Then, X^2 + X = 240
 X^2 + X – 240 = 0 
X^2 + 16 X – 15 X – 240 = 0 
X (X + 16) – 15 (X  + 16) = 0 
(X + 16) (X – 15) = 0
X – 15 = 0 
X = 15

Then, the number will be 15. 

Hence, the correct answer is option (c) 15.

Anurag Mishra Professor Answered on 22nd January 2016.
Add Comment

Your Answer

By posting your answer, you agree to the privacy policy and terms of service.