document.write( "Question 1174419: Seven years ago, Beth’s son was one-third her age at that time. Seven years from now, he will be one-half her age at that time. How old is Beth’s son? \n" ); document.write( "
Algebra.Com's Answer #799877 by VFBundy(438)![]() ![]() You can put this solution on YOUR website! Beth's son's age 7 years ago = x \n" ); document.write( "Beth's age 7 years ago = 3x \n" ); document.write( " \n" ); document.write( "Now, compute their ages 7 years from now (which is 14 years from their ages 7 years ago): \n" ); document.write( " \n" ); document.write( "2(x + 14) = 3x + 14 \n" ); document.write( " \n" ); document.write( "2x + 28 = 3x + 14 \n" ); document.write( " \n" ); document.write( "-x = -14 \n" ); document.write( " \n" ); document.write( "x = 14 \n" ); document.write( " \n" ); document.write( "Beth's son's age 7 years ago = x = 14 \n" ); document.write( " \n" ); document.write( "We are looking for Beth's son's age NOW. He was 14-years-old seven years ago, so that means he is presently 21-years-old. |