# Thread: Mean of numbers

1. ## Mean of numbers

Please help!

The mean of A and B is 40
The mean of B and C is 35

A + B + C = 100

What is the values of A, B and C?

2. Originally Posted by Natasha1
Please help!

Hi Natasha1

The mean of A and B is 40
The mean of B and C is 35

A + B + C = 100

What is the values of A, B and C?
$\displaystyle \frac{A+B}{2}=40\ \Rightarrow\ A+B=80$

$\displaystyle \frac{B+C}{2}=35\ \Rightarrow\ B+C=70$

$\displaystyle A+B+B+C=A+2B+C=80+70=150$

$\displaystyle B=(A+2B+C)-(A+B+C)=150-100$

Then all values may be solved for.