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El número que buscas es = s
El consecutivo del número es = s + 1
La cuarta parte del número es = s/4
Resolvemos:
s/4 + s + 1 = √100
s/4 + s + 1 = 10
s/4 + s = 10 - 1
s/4 + s = 9
(4 * s + s)/4 = 9
(4s + s)/4 = 9
5s/4 = 9
5s = 4 (9)
5s = 36
s = 36/5
Respuesta.
El número es 36/5