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p-7 = 3(h-7) ec. 2
De la ec. 2:
p = 3(h-7)+7
p = 3h - 21 +7
p = 3h-14 ec. 3
Sustituyendo valores de la ec. 3 en la ec. 1:
(3h-14)-17 = 8(h-17)
3h-14-17 = 8h - 136
3h-31 = 8h - 136
3h-8h = -136+31
-5h = -105
h = -105/-5
h = 21
De la ec. 3:
p = 3h-14
p = (3*21) - 14
p = 63-14
p = 49
Veamos si cumple:
hace 17 años:
49-17 = 32
21-17 = 4
4*8 = 32
hace 7 años:
49-7 = 42
21-7 = 14
14*3 = 42 comprobado
Las edades son:
Padre: 49 años
Hijo: 21 años
Saludos...............