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Today, 11:06

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

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  1. Today, 12:22
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    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.
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