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3 years ago

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

Mathematics

1 answer:

ser-zykov [4K]3 years ago

6 0

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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