N

[Stamenkovica02]

Each of the numbers 144 and 220 is divided by the natural number n and the remainder in both cases is 11. Then N is equal to?
I have answers
7,11,15,19 or 38

 

[Deleted member 4993]

Each of the numbers 144 and 220 is divided by the natural number n and the remainder in both cases is 11. Then N is equal to?
I have answers
7,11,15,19 or 38

First I'll notice that

n > 11.............................................(why?)

Please show us what you have tried and exactly where you are stuck.

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Please share your work/thoughts about this problem.

 

[HallsofIvy]

Each of the numbers 144 and 220 is divided by the natural number n and the remainder in both cases is 11. Then N is equal to?
I have answers
7,11,15,19 or 38

144= xn+ 11
220= yn+ 11

Subtracting the top from the bottom equation, 76= (x- y)n. As Subhotosh Kahn pointed out, n must be greater than 11. Does 15 divide into 76? Does 19 or 38?

 

[Steven G]

Do the division for all the choices!!