Answer:
Number of students in the science club are 38.
Step-by-step explanation:
Let, the number of students in the robotics club = x and the number of students in the science club = y.
Since, there are total 82 students in both the clubs.
So, we have,
[tex]x+y=82[/tex].
Moreover, the number of students in the science club are 6 less than those in the robotics club.
So, we get,
[tex]y=x-6[/tex]
Thus, solving the system of equations, we get,
[tex]x+y=82[/tex] implies [tex]x+(x-6)=82[/tex] implies [tex]2x-6=82[/tex] i.e. 2x= 88 i.e. x= 44
So, [tex]y=x-6[/tex] implies y= 44-6 i.e. y= 38
Hence, the number of students in the robotics club are 44 and the science club are 38.