Question

When a number is divided by 357 the remainder is 39. If that number is divided by 17, the remainder will be:

Answer 1

Answer:

5

Step-by-step explanation:

Lets take the smallest possible number, 357+5=362.

362 ÷ 357 = 1 remainder 5

362 ÷ 17 = 21 remainder 5

Remainder = 5

Answer 2

Answer:

Let the number be m.

m=357n+39

Dividing this by 17, we have

357n+39=(21)(17)n+(34)+5

Remainder is 5