Question 1. Form the pair of linear equations in the following problems, and find their so Chapter 3: Pair of Linear Equations in Two Variable Maths Class 10 solutions are developed for assisting understudies with working on their score and increase knowledge of the subjects. Question 1. Form the pair of linear equations in the following problems, and find their solutions graphically. (i) 10 students of Class X took part in a Mathematics quiz. If the number of girls is 4 more than the number of boys, find the number of boys and girls who took part in the quiz. is solved by our expert teachers. You can get ncert solutions and notes for class 10 chapter 3 absolutely free. NCERT Solutions for class 10 Maths Chapter 3: Pair of Linear Equations in Two Variable is very essencial for getting good marks in CBSE Board examinations
Question 1. Form the pair of linear equations in the following problems, and find their solutions graphically.
(i) 10 students of Class X took part in a Mathematics quiz. If the number of girls is 4 more than the number of boys, find the number of boys and girls who took part in the quiz.
Solution: Let number of boys = x
Number of girls = y
Given that total number of student is 10 so that
x + y = 10
Subtract y both side we get
x = 10 – y
Plug y = 0 , 5, 10 we get
X = 10 – 0 = 10
X = 10 – 5 = 5
X = 10 – 10 = 0
X | 10 | 5 | 0 |
Y | 0 | 5 | 10 |
Given that If the number of girls is 4 more than the number of boys
So that
y = x + 4
Plug x = -4, 0, 4, and we get
Y = - 4 + 4 = 0
Y = 0 + 4 = 4
Y = 4 + 4 = 8
| X | -4 | 0 | 4 |
y | 0 | 4 | 8 |
So number of boys = 3 and number of girls = 7
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