document.write( "Question 244500: a man is 30 years old and his son is 4 years old,after how many years will the man be twice as old as his son? \n" ); document.write( "
Algebra.Com's Answer #178824 by Earlsdon(6294)![]() ![]() ![]() You can put this solution on YOUR website! Let M = the man's present age and S = the son's present age, so... \n" ); document.write( "M = 30 and S = 4. \n" ); document.write( "Let x = the number of years in which the man's age will be twice the son's age. \n" ); document.write( "M+x = 2(S+x) Substitute M = 30 and S = 4. \n" ); document.write( "30+x = 2(4+x) Simplify. \n" ); document.write( "30+x = 8+2x Subtract x from both sides. \n" ); document.write( "30 = 8+x Subtract 8 from both sides. \n" ); document.write( "22 = x \n" ); document.write( "The man will be twice the son's age in 22 years. \n" ); document.write( "Check: \n" ); document.write( "In 22 years, the man will be 30+22 = 52 years old. \n" ); document.write( "In 22 years, the son will be 4+22 = 26 years old. \n" ); document.write( "52 = 2(26) \n" ); document.write( " \n" ); document.write( " |