Question

A number when divided by 136 leaves a remainder 47. if the same number is divided by 17, the remainder is 9. the number is select one:

a. 7

b. 2

c. 9

d. 3

Answer 1

division algorithm says
p= qs + r
$x = 136y + 47 \\ x = 17y + 9 \\ 17y + 9 = 136y + 47 \\ 136 - 17y = 9 - 47 \\ 118y = - 38 \\ y = - \frac{38}{118} \\ x = 136 \times \frac{ - 38}{118} + 47 = - 43.7 + 47 = 3.3$
option D will be right