A CABINET HAS TWO SLIDING DOORS OF DIFFERENT SIZES. WHEN THE CABIN...

13. A cabinet has two sliding doors of different sizes. When the cabinet is fully closed, they overlap by two-fifths of the width of the smaller door. When both doors are slid to one side, the part of the longer door that is not behind the shorter one is half as wide as the original overlap, and the open portion of the cabinet is 36 inches wide. What is the width of the whole cabinet?