A number which when divided by 22 and leaves reaminder 64 what is the reaminder if the number is divisible by 13
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Let the number be X
X=64 (mod 221)
The Prime factors of 222=13*17
Therefore we can Rewrite the congruence equations as under.
X=64 (mod 17) ————-(i)
X=64 (mod 13)—————-(ii)
Simplify (ii) to get the ANSWER
X=64 (mod 13)= -1 ( mod 13) =12 (mod 13)
TTherefore the REMAINDER is (-1) or 12
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