My first problem My birthday

Algebra Level 2

12 times my date of birth + 31 times month of birth is 4 less than square of 21. Which date was i born on?


The answer is 8.

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1 solution

Kay Xspre
Dec 2, 2015

You will get that 12 x + 31 y = 2 1 2 4 12x+31y=21^2-4 where 1 x 30 1\leq x \leq30 , 1 y 12 1 \leq y \leq 12 and both X and Y are integers. The only possible integer satisfying the condition is ( x , y ) = ( 8 , 11 ) (x,y) = (8,11) ; in other words, your birthday is 8 November.

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