80
Let A, B, and C be three numbers.
The arithmetic mean of A and B is given by \( \frac{A + B}{2} = 70 \).
Therefore, \( A + B = 2 \times 70 = 140 \).
The arithmetic mean of B and C is given by \( \frac{B + C}{2} = 110 \).
Therefore, \( B + C = 2 \times 110 = 220 \).
We want to find the value of \( C - A \).
We have two equations:
- \( A + B = 140 \)
- \( B + C = 220 \)
Subtracting the first equation from the second equation, we get:
\( (B + C) - (A + B) = 220 - 140 \)
\( B + C - A - B = 80 \)
\( C - A = 80 \)
Therefore, the value of \( C - A \) is 80.
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