document.write( "Question 1133054: The total ages of 3 people in a certain family is 75. The oldest is 35. Ten years ago the total of their ages was 47. How old is the youngest now?\r
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document.write( "This is the problem, I tried many solutions but all the time the result is 77. Can you please give me a clue? Thank you \n" );
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Algebra.Com's Answer #750226 by ikleyn(52786)![]() ![]() You can put this solution on YOUR website! .\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " The condition in this problem describes IMPOSSIBLE situation, which NEVER can happen \n" ); document.write( " - therefore the problem HAS NO solution.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " Indeed, if the sum of ages of three persons today is 75, then it can not be 47 ten years ago.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " Then years ago the sum of their ages is / (was) 75 - 3*10 = 75 - 30 = 45.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " In simple terms, the condition is INCORRECT.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "===============\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Added after reading the solution by tutor @MathTherapy.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( " Thanks for your solution and for correcting me.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " Now I recalled that I solved similar problem (even more than once) before at this forum.\r\n" ); document.write( "\r\n" ); document.write( " I even made a lesson Age problems with a defective sum of ages in this site with similar problem.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " But I think that in such cases the condition should point by some gently and delicate manner to such a possibility.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " In the presented formulation the word \"their\" refers directly to \"3 people\" and is tooooo straightforward - and therefore incorrect.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |