document.write( "Question 1206413: Maria is 5 more than thrice the age of her brother. In 8 years , the sum of their ages will be 33. \r
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document.write( "How old is Maria and her brother now? \n" );
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Algebra.Com's Answer #843867 by math_tutor2020(3817)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "b = brother's present day age \n" ); document.write( "3b = three times that amount \n" ); document.write( "3b+5 = Maria's present day age\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Add on 8 to each to fast-forward the clock. \n" ); document.write( "b+8 = brother's future age \n" ); document.write( "(3b+5)+8 = 3b+13 = maria's future age\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Add those future ages to get 33. \n" ); document.write( "This will allow us to determine b. \n" ); document.write( "brother+maria = 33 \n" ); document.write( "(b+8)+(3b+13) = 33 \n" ); document.write( "4b+21 = 33 \n" ); document.write( "4b = 33-21 \n" ); document.write( "4b = 12 \n" ); document.write( "b = 12/4 \n" ); document.write( "b = 3 \n" ); document.write( "Her brother is currently 3 years old.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3b+5 = 3*3+5 = 14 \n" ); document.write( "Maria is currently 14 years old.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In 8 years they will be... \n" ); document.write( "brother = 3+8 = 11 \n" ); document.write( "maria = 14+8 = 22 \n" ); document.write( "Their future age sum will be 11+22 = 33, so we have confirmed the answers are correct. \n" ); document.write( " \n" ); document.write( " |