Answer:
Let's denote the value of \( B \) as \( x \) and the value of \( A \) as \( y \).
The given information is:
\[\frac{2}{3}B = 70\]
\[\frac{3}{7}A = 60\]
Now, we can set up the equations:
\[ \frac{2}{3}x = 70 \]
\[ \frac{3}{7}y = 60 \]
Solving for \( x \) and \( y \) will give us the values of \( B \) and \( A \). Once we have those values, we can find \( \frac{1}{4}AB \).
Let's solve for \( x \) and \( y \):
\[ x = \frac{3}{2} \times 70 \]
\[ y = \frac{7}{3} \times 60 \]
Now, find \( \frac{1}{4}AB \):
\[ \frac{1}{4}AB = \frac{1}{4} \times x \times y \]
Substitute the values of \( x \) and \( y \) into the formula to get the result.
