Answer:
![g = 2b-83](https://tex.z-dn.net/?f=g%20%3D%202b-83)
![b+g=259](https://tex.z-dn.net/?f=b%2Bg%3D259)
Number of boys = 114
Number of girls = 145
Step-by-step explanation:
Let the number of boys in the class = ![b](https://tex.z-dn.net/?f=b)
Now, as per question statement,
Number of girls is 83 less than twice the number of boys.
Representing in the form of equation.
Let number of girls = ![g](https://tex.z-dn.net/?f=g)
![g = 2b-83 ....... (1)](https://tex.z-dn.net/?f=g%20%3D%202b-83%20.......%20%281%29)
Also, given that total number of students in the class = 259
i.e. ![b+g=259](https://tex.z-dn.net/?f=b%2Bg%3D259)
Putting value of
using equation (1):
![\Rightarrow b+2b-83=259\\\Rightarrow 3b-83=259\\\Rightarrow 3b=259+83\\\Rightarrow 3b=342\\\Rightarrow \bold{b=114}](https://tex.z-dn.net/?f=%5CRightarrow%20b%2B2b-83%3D259%5C%5C%5CRightarrow%203b-83%3D259%5C%5C%5CRightarrow%203b%3D259%2B83%5C%5C%5CRightarrow%203b%3D342%5C%5C%5CRightarrow%20%5Cbold%7Bb%3D114%7D)
So, number of boys, <em>b = 114</em>
Putting value of
in equation (1) to find the value of
.
![\Rightarrow g = 2(114)-83 \\\Rightarrow g = 228-83\\\Rightarrow \bold{g = 145}](https://tex.z-dn.net/?f=%5CRightarrow%20g%20%3D%202%28114%29-83%20%5C%5C%5CRightarrow%20g%20%3D%20228-83%5C%5C%5CRightarrow%20%5Cbold%7Bg%20%3D%20145%7D)
So, number of girls, <em>g = 145.</em>
Hence, the answer is:
<em>Number of boys = 114</em>
<em>Number of girls = 145</em>