Question
A certain number gives a remainder of 9 when divided by 17.
What is the remainder when twice that number is divided by 17?Solution
ATQ,
Let the number be:
Number = 17C + 9, where C is an integer.
Twice the number = 2 × (17C + 9) = 34C + 18
Now divide by 17:
(34C + 18) = (34C + 17 + 1)
⇒ Remainder = 1
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