document.write( "Question 1199026: Four years ago,a mother was 4 times as old as her son.In 4 years time, the sum of their ages will be 56years .Find the age of the mother when the son was born \n" ); document.write( "
Algebra.Com's Answer #832725 by ikleyn(52782)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "Four years ago, a mother was 4 times as old as her son. \n" ); document.write( "In 4 years time, the sum of their ages will be 56 years. \n" ); document.write( "Find the age of the mother when the son was born \n" ); document.write( "~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " Below is the mental solution.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "Since in 4 years the sum of their ages will be 56 years,\r\n" ); document.write( " it means that the sum of their ages now is 56 - 4 - 4 = 48.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Since now the sum of their ages is 48 years,\r\n" ); document.write( " it means that the sum of their ages four years ago was 48 - 4 - 4 = 40.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Since four years ago the sum of their ages was 40 and the mother was 4 times as old as her son,\r\n" ); document.write( " it implies that at that time the son was 8 years old and the mother was 32 years old\r\n" ); document.write( " (it is the only place, where minimal mental step is required,\r\n" ); document.write( " but for most people it is a quite affordable effort).\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Since the difference of their ages was 32-8 = 24 at that time, it means that the mother is 24 years older than the son.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "In other terms, it means that the mother was 24 years old when the son was born. ANSWER\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The total time to solve this problem in this way is about and around of 10 seconds.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "/////////////////\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Regarding the post by @josgarithmetic, I recommend you to tape your eyes and plug your ears \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "in order for do not see and do not hear that gibberish, which this person writes in his posts.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In more soft terms, simply ignore his writing, for safety of your mind.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |