искомая длина --- х
|GO| = 5x/12
|GP| = 5x/16
|PO| = 30 = |GO| - |GP| = ((5/12) - (5/16))x = 5x/48
x = 30*48/5 = 6*48 = 288
ПРОВЕРКА:
|GO| = 288*5/12 = 120
|GP| = 288*5/16 = 90
|PO| = 120-90 = 30
искомая длина --- х
|GO| = 5x/12
|GP| = 5x/16
|PO| = 30 = |GO| - |GP| = ((5/12) - (5/16))x = 5x/48
x = 30*48/5 = 6*48 = 288
ПРОВЕРКА:
|GO| = 288*5/12 = 120
|GP| = 288*5/16 = 90
|PO| = 120-90 = 30