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?

Question

asked Jun 3, 2022 205k views

1 Answer

Preynolds · Answer 1 · 2022-06-07T02:33:36+0000

Answer:

27 and 77

Explanation:

Given

Let

$n \to$ number

$n\ \%\ 2 = 1$

$n\ \%\ 25 = 2$

n <100

Required

Find n

$n\ \%\ 2 = 1$ implies that the number is odd and the possible solutions are:

$\{3,5,7,9,......99\}$

The possible solutions to
$n\ \%\ 25 = 2$ are:

$\{27,52,77\}$

Testing 27, 52 and 77 with
$n\ \%\ 2 = 1$ , we have:

$27\ \%\ 2 = 1$ --- true

$52\ \%\ 2 = 0$ ---- false

$77\ \%\ 2 = 1$ --- true

Hence, the possible numbers are 27 and 77