In ΔABC of area equal to 1024 square units, points X, Z, and Y divide the line segments BC, CA, and AB in the ratio 3:4, 5:6, and 1:2. The ratio of areas of ΔXYZ and ΔABC can be expressed as nm, where m and n are coprime positive integers.Determine the value of m+n.
Details- When I say X divides BC in the ratio 3:4, I mean that XCBX=43.