Question

when a number is increased by 8, it is divisible by 35, what is the remainder when the same number is divided by 5

Answer 1

Answer:

Let number x . For some integer k

\begin{gathered}x + 8 = 35k \\ x = 35k - 8 \\ x = 35k - 10 + 2 \\ x = 5(7k - 2) + 2 \\ \\ \frac{x}{5} = (7k - 2) + \frac{2}{5} \end{gathered}x+8=35kx=35k−8x=35k−10+2x=5(7k−2)+25x=(7k−2)+52