contestada

I am a number less than 100. When you divide me by 2, my remainder is 1. When you divide me by 25, my remainder is 2. What numbers am I?

Respuesta :

MrRoyal

Answer:

27 and 77

Step-by-step explanation:

Given

Let

[tex]n \to[/tex] number

[tex]n\ \%\ 2 = 1[/tex]

[tex]n\ \%\ 25 = 2[/tex]

[tex]n <100[/tex]

Required

Find n

[tex]n\ \%\ 2 = 1[/tex] implies that the number is odd and the possible solutions are:

[tex]\{3,5,7,9,......99\}[/tex]

The possible solutions to [tex]n\ \%\ 25 = 2[/tex] are:

[tex]\{27,52,77\}[/tex]

Testing 27, 52 and 77 with [tex]n\ \%\ 2 = 1[/tex], we have:

[tex]27\ \%\ 2 = 1[/tex] --- true

[tex]52\ \%\ 2 = 0[/tex] ---- false

[tex]77\ \%\ 2 = 1[/tex] --- true

Hence, the possible numbers are 27 and 77

Otras preguntas