Question

A number divided by 7 gives a result 9 and a remainder of 4.What is that number?

Answer 1

67 is that number

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Answer 2

Step-by-step explanation:

When 2n is divided by 7, the remainder is 4. What is the remainder when n is divided by 7?

2n=7k+4 ,

therefore

2n−4=2(n−2)=7k ,

therefore k is even. Let k=2p , hence

2n=14p+4=2(7p+2)

or

n=7p+2,

therefore the remainder is 2.

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