Question

when a number is divided by 13, the remainder is 11. when the same number is divided by 17, the remainder is 9 . what is the number?​

Answer 1

Answer:

Step-by-step explanation:

X= 13p+11 and X= 17q+9, Hence  

13p+11=17q+9

17q-13p=2

q=(2+13p)/17

The least value for p for which q=(2+13p)/17 is a whole number is p=26

Therefore x=(13*26+11)=(338+11)=349.

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