georgeangelov2 georgeangelov2

22-06-2019
Mathematics

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Find the four-digit number which has the remainder of 112 when divided by 131, and the remainder of 98 when divided by 132.

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konrad509 konrad509

23-06-2019

[tex]n[/tex] - 4-digit number

[tex]q[/tex] - quotient

[tex]131q+112=n\\132q+98=n\\\\131q+112=132q+98\\q=14\\\\131\cdot14+112=n\\\boxed{n=1946}[/tex]

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