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A, b and c stand for three different numbers

The mean of A and B is 40

The mean of B and C is 35

A +B+C=100

Calculate the values of A, B and C

User Sonali
by
8.1k points

1 Answer

2 votes

To find the mean, you add up the numbers and divide by
how many numbers there are.

So if the mean of 'A' and 'B' is 40, then A + B = 80 .
And if the mean of 'B' and 'C' is 35 then B + C = 70.
==========================================
You said that (A + B) + C = 100 .

From something else that you said, I noticed that A + B = 80 .

So I can write (80) + C = 100

Subtract 80 from each side: C = 20
==========================================
I also noticed, from what you said, that B + C = 70 .

So I can write B + 20 = 70

Subtract 20 from each side: B = 50
==========================================
Now I know that C = 20 and B = 50.

Finally, you said that A + B + C = 100 ,

So I can write A + 50 + 20 = 100

Combine like terms on the left: A + 70 = 100

Subtract 70 from each side: A = 30
==========================================

A = 30
B = 50
C = 20


User Matt Parrilla
by
7.2k points

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