When the positive integer n is divided by 7, the remainder is 2. What is the remainder when 5n is divided by 7?

Therefore the reminder is 3 when 5n is divided by 7.

Step-by-step explanation:

we know that

Dividend = quotient * Divisor + Reminder

⇔ n = Q (n) * 7 + 2 [ let Q (n) is quotient]

multiplying by 5 both sides

5n = 5 Q (n) * 7 + 2*5

⇔5n = 5 Q (n) * 7 + 10

⇔5n = 5 Q (n) * 7 + 7 + 3

⇔ 5n = (5Q (n) + 1) * 7 + 3

Therefore the reminder is 3 when 5n is divided by 7.