Question

Suyash scored 10 marks more in second test than that in the first. 5 times the score
of the second test is the same as square of the score in the first test. Find his score
in the first test..

Answer 1

Let the score in the first test be x.

Suyash's score in second test is 10 more than that in the first.

So, his score in the second test = x+10

5 times the score of the second test is the same as square of the score in the first test.

5(x+10)=x

2

⇒5x+50=x

2

⇒x

2

−5x−50=0

⇒x

2

−10x+5x−50=0

⇒x(x−10)+5(x−10)=0

⇒(x+5)(x−10)=0

⇒x=10,−5

The score is not negative so, Suyash scored 10 marks in first test.

Answer 2

Step-by-step explanation:

Maharashtra State Board

SSC (Marathi Semi-English) 10th Standard [इयत्ता १० वी]

Question Papers156

Textbook Solutions5184

Important Solutions1578

Question Bank Solutions3691

Concept Notes & Videos264

Time Tables21

Syllabus

Advertisement Remove all ads

QUESTION By default hide Solutions

Suyash scored 10 marks more in second test than that in the first. 5 times the score of the second test is the same as square of the score in the first test. Find his score in the first test.

SOLUTION

Let the score in the first test be x.

Suyash's score in second test is 10 more than that in the first.

So, his score in the second test = x + 10

5 times the score of the second test is the same as square of the score in the first test.

5(x+10)=x2

⇒5x+50=x2

⇒x2−5x−50=0

⇒x2−10x+5x−50=0

⇒x(x−10)+5(x−10)=0

⇒(x+5)(x−10)=0

⇒x=10,−5

The score is not negative so, Suyash scored 10 marks in first test.