document.write( "Question 502219: please help me solve this word problem: Jack is six years more than five times as old as Jill. if the sum of their ages is 78. how old is each? \n" ); document.write( "
Algebra.Com's Answer #338786 by Earlsdon(6294)![]() ![]() ![]() You can put this solution on YOUR website! Let Ja be Jack's present age and Ji be Jill's present age. \n" ); document.write( "1) Ja + Ji = 78 \"...the sum of their ages is 78.\" \n" ); document.write( "2) Ja = 5Ji+6 \"Jack is six years more than five times as old as Jill.\" Rewrite equation 1) as: \n" ); document.write( "1a) Ja = 78-Ji and substitute for Ja in equation 2) to get: \n" ); document.write( "2a) 78-Ji =5Ji+6 Solve for Ji. Add Ji to both sides \n" ); document.write( "2b) 78 = 6Ji+6 Now subtract 6 from both sides. \n" ); document.write( "2c) 72 = 6Ji Finally, divide both sides by 6. \n" ); document.write( "2d) 12 = Ji Jill is 12 years old. \n" ); document.write( "1b) Ja = 78=Ji \n" ); document.write( "1c) Ja = 78-12 \n" ); document.write( "1d) Ja = 66 Jack is 66 years old. \n" ); document.write( " \n" ); document.write( " |