document.write( "Question 1199999: I am thinking of a number, when divided by 9 the remainder is 4. When divided by 5 the remainder is 4 and when divided by 3 the remainder is 1. What number am I thinking of? \n" ); document.write( "
Algebra.Com's Answer #834005 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "The given information that the number divided by 3 leaves remainder 1 is superfluous, because 9 is a multiple of 3 and the remainder when divided by 9 is 4. \n" ); document.write( "So the simplified problem is to find a number that leaves remainder 4 when divided by either 5 or 9. But if the remainder is 4 when divided by either 5 or 9, then the remainder is 4 when divided by 5*9=45. \n" ); document.write( "So the given number could be any number that is 4 more than a multiple of 45. \n" ); document.write( "One simple obvious such number is 4+45 = 49. \n" ); document.write( "But other possibilities are 4+2(45) = 94, or 4+10(45) = 454, or even 4+(-3)(45) = -131. \n" ); document.write( "ANSWER (the PROBABLE expected one): 49 \n" ); document.write( " \n" ); document.write( " |