Grade 1010 grade maths

there is a farewell party in a college,there are x nos of student who shake hand with every other student there are totally 153 handshakes in that room,find the total no. of students in that room

satyam

11 Years agoGrade 10

6 Answers

Ansh Agrawal

11 Years ago

153

Ashwin

11 Years ago

hi,

since number of handshakes given = 153

let no. of students be n,

therfore, number of handshakes = n(n-1)/2

ATQ,

n(n-1)/2 = 153

n²-n = 306

n²-n-306 = 0

n = 18,-17

we reject n = -17 as no. of students cant be negative

therefore there are 18 students

Nikhil kumar

11 Years ago

handshakes = 153 so students can be x

so handshakes can be written as {x(x-1)}/2

{x²-x}/2 = 153 =>x²-x = 306 on solving the equation we get x = -17 and 18.

Nikhil kumar

11 Years ago

as the no. of students of can not be negative so x = 18 is the possible answer

so students are 18

Prajwal Kavad

11 Years ago

18 students

Kalyani Jayachandran Menon

11 Years ago

There are 18 students in the room.

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View all Questions

there is a farewell party in a college,there are x nos of student who shake hand with every other student there are totally 153 handshakes in that room,find the total no. of students in that room

satyam

6 Answers

Ansh Agrawal

Ashwin

Nikhil kumar

Nikhil kumar

Prajwal Kavad

Kalyani Jayachandran Menon

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