document.write( "Question 678735: Cody is twice as old as Evan and seven years ago the sum of their age was 10. Find the age of each boy now. \n" ); document.write( "
Algebra.Com's Answer #421597 by rm29924(97)![]() ![]() You can put this solution on YOUR website! Let X = Evan's current age \n" ); document.write( "Cody is twice as old as Evan so: \n" ); document.write( "Cody's current age = 2X\r \n" ); document.write( "\n" ); document.write( "X-7= Evan's age 7 yrs ago \n" ); document.write( "2x-7= Cody's age 7 yrs ago\r \n" ); document.write( "\n" ); document.write( "the sum of their ages 7 yrs ago was 10 \n" ); document.write( "so add them and set them equal to 10 \n" ); document.write( "x-7+2x-7=10 \n" ); document.write( "combine like terms \n" ); document.write( "3x-14=10 \n" ); document.write( "add 14 to both sides \n" ); document.write( "3X=24 \n" ); document.write( "divide both sides by 3 \n" ); document.write( "X=8\r \n" ); document.write( "\n" ); document.write( "Cody's current age is 2X \n" ); document.write( "2(8) \n" ); document.write( "16\r \n" ); document.write( "\n" ); document.write( "answer: Evan is 8 yrs old and Cody is 16 years old \n" ); document.write( " |