Question

There are 51 students in a certain class. The number of females is 5 less than 3 times the number of males. find the number of females and the number of males in the class.

Answer 1

Find three consecutive integers such that the sum of the smallest and largest integer is equal to twice the middle number

Answer 2

number of males --- x
number of females --- 3x-5

Can you form the equation from here and solve it?

Answer 3

Please do not post a new question as a reply to somebody else's problem.
Tutors might think it has been answered and not look at it.

I will set it up for you...

1st integer ---- x
2nd integer ----x+1
3rd integer ----x + 2

"smallest plus largest equals twice the middle"
x + (x+2) = 2(x+1)

solve....

ahhh, glancing at this equation it is obvious that you will get
0=0
that means that it will be true for all consecutive even integers.
e.g. let's try 4,5,6
is 4+6 = 2(5) ? YES