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2 x + 1 es impar, 2 x + 3 es el impar consecutivo.
Luego (2 x + 3)² - (2 x + 1)² = 88; quitamos paréntesis:
8 x + 8 = 88; por lo tanto x = 10
El mayor es 2 . 10 + 3 = 23; el menor es 21
Verificamos: 23² - 21² = 529 - 441 = 88
Saludos Herminio