document.write( "Question 903590: Joan is 7 years older than twice her son Rommel. Five years ago she was 3 years less than thrice as old as her son. Find the present age of Rommel. \n" ); document.write( "
Algebra.Com's Answer #548178 by JulietG(1812)![]() ![]() You can put this solution on YOUR website! J = 2R + 7 \n" ); document.write( "J-5 = 3(R-5) - 3 \n" ); document.write( "Distribute \n" ); document.write( "J-5 = 3R-15-3 \n" ); document.write( "J-5 = 3R-18 \n" ); document.write( "Add 5 to each side \n" ); document.write( "J = 3R - 13 \n" ); document.write( "Take that value of J and substitute it for J in the first equation \n" ); document.write( "J = 2R + 7 \n" ); document.write( "3R-13 = 2R+7 \n" ); document.write( "Subtract 2R from each side \n" ); document.write( "R - 13 = 7 \n" ); document.write( "Add 13 to each side \n" ); document.write( "R = 20 \n" ); document.write( "If Rommel is 20, then Joan is 47. \n" ); document.write( "Prove it: \n" ); document.write( "Five years ago (47-5=42) she was 3 years less than thrice as old as her son 20-5=15). \n" ); document.write( "42 = (3*15)-3 \n" ); document.write( "42=45-3 \n" ); document.write( "42=42 \n" ); document.write( " |