document.write( "Question 757168: Patty is 3 times as old as her brother, Terry. In 10 years, the sum of their ages will be 36. How old are they now? \n" ); document.write( "
Algebra.Com's Answer #460675 by LearnWithMajor(33)![]() ![]() ![]() You can put this solution on YOUR website! P = patty's age now T = terry's age now\r \n" ); document.write( "\n" ); document.write( "Patty is 3 times as old as terry. 3T = P \n" ); document.write( "In 10 years the sum of their ages will be 36. (T+10) + (P+10) = 36\r \n" ); document.write( "\n" ); document.write( "Now substituting/replacing the P in the second equation with 3T from the first equation we get \n" ); document.write( "(T+10) + (3T+10) = 36\r \n" ); document.write( "\n" ); document.write( "Now we combine like terms and then solve for T\r \n" ); document.write( "\n" ); document.write( "(T+3T) + (10+10) = 36 \n" ); document.write( "4T + 20 = 36 \n" ); document.write( "4T = 16 \n" ); document.write( "T = 4 \n" ); document.write( "P = 3T = 3(4) = 12 \n" ); document.write( " |