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Sea
Miguel = M
Marta = N
Traduciendo el enunciado
M = 2N (1)
M*N = 512 (2)
(1) en (2)
2N*N = 512
N^2 = 512/2
= 256
N = √256
N = +/- 16
Como se trata de edades, tomamos el valor positivo
Entonces
N = 16
M = 32 (2x16)
EDADES
MIGUEL 32
MARTA 16