Question

9. Stanjesh, Anjali and Kritika are friends studying in the same class. In a Mathematics test,
Manish scored 16 marks and Anjali scored 18 marks. The average score of all the three is
19. How many marks did Kritika score?​

Answer 1

Answer: - The marks scored by Kritika is = 23.

Detailed solution: -

Correct question: -

Q. Manish, Anjali and Kritika are friends studying in the same class. In a Mathematics test, Manish scored 16 marks and Anjali scored 18 marks. The average score of all the three is 19. How many marks did Kritika score?​

Given: -

Manish, Anjali and Kritika are three friends.

They are studying in the same class.

Marks scored by Manish = 16

Marks scored by Anjali = 18

Average score of all the three is = 19

We need to find the marks scored by Kritika.

Let us assume the marks scored by Kritika be x.

Therefore,

Average score = Marks of Manish + marks of Anjali + marks of Kritika/3

$19=\frac{16+18+x}{3}\\ \\19=\frac{34+x}{3}\\ \\19*3=34+x\\57=34+x\\57-34=x\\23=x$

Therefore,

The marks scored by Kritika is 23.

To check: -

Average score = Marks of Manish + marks of Anjali + marks of Kritika/3

$19=\frac{16+18+23}{3}\\ \\19=\frac{57}{3}\\ \\19=19$

Therefore,

LHS = RHS

To know more about the topic, go to the given links: -

https://brainly.in/question/38601896

https://brainly.in/question/7612423

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