document.write( "Question 502089: The sum of Victor’s and Ellen’s age is 40 years. Victor’s age 10 years from now will be 1 year less than 4 times Ellen’s age 6 years ago. Find their present ages. \n" ); document.write( "
Algebra.Com's Answer #338771 by oberobic(2304)![]() ![]() ![]() You can put this solution on YOUR website! V +E = 40 \n" ); document.write( "V+10 = Victor's age 10 years from now. \n" ); document.write( "E+10 = Ellen's age 10 years from now. \n" ); document.write( "E-6 = Ellen's age 6 years ago. \n" ); document.write( ". \n" ); document.write( "(V+10) +1 = 4*(E-6) \n" ); document.write( ". \n" ); document.write( "Substitute for V \n" ); document.write( "V = 40-E \n" ); document.write( ". \n" ); document.write( "40-E + 10 +1 = 4E -24 \n" ); document.write( "51 -E = 4E - 24 \n" ); document.write( "75 -E = 4E \n" ); document.write( "75 = 5E \n" ); document.write( "E = 15 \n" ); document.write( ". \n" ); document.write( "V+E = 40 \n" ); document.write( "V+15 = 40 \n" ); document.write( "V = 25 \n" ); document.write( ". \n" ); document.write( "Always check your work \n" ); document.write( ". \n" ); document.write( "In 10 years, V = 35 \n" ); document.write( "Six years ago, E = 9 \n" ); document.write( "4*E = 36 \n" ); document.write( "which is 1 more than V+10. \n" ); document.write( ". \n" ); document.write( "Answer: Victor's current age is 25; Ellen's is 15. \n" ); document.write( ". \n" ); document.write( "Done. \n" ); document.write( " |