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Edad actual de Olga = x
Edad que tenia hace 6 años = x - 6
Edad que tendra dentro de 9 años = x + 9
x/2 + (x - 6)/5 = 8/15(x + 9)
[5x/10 + 2(x - 6)/10] = 8(x + 9)/15
[(5x + 2x - 12)/10] = (8x + 72)/15
(7x - 12)/10 = (8x + 72)/15
15(7x -12) = 10(8x + 72)
105x - 180 = 80x + 720
105x - 80x = 720 + 180
25x = 900
x = 900/25
x = 36
Respuesta.
Olga tiene 36 años