document.write( "Question 93720: Riza was 25 when her 1st son was born.Today, the sum of their ages is 105.How old is Riza and her son now? \n" ); document.write( "
Algebra.Com's Answer #68285 by bucky(2189)![]() ![]() ![]() You can put this solution on YOUR website! When her son was born Riza was 25 and at that time her son was 0 years old. \n" ); document.write( ". \n" ); document.write( "Since that time, x years have gone by. Riza is now 25 + x years old and her son is now x years old. \n" ); document.write( "If you add their two ages, the result is 105. In equation form this is: \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "Combining the two x terms on the left side results in: \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "Then get rid of the 25 on the left side by subtracting 25 from both sides. The equation \n" ); document.write( "then becomes: \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "Solve for x by dividing both sides by 2 to get: \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "That means that Riza's son whose age is x is 40 years old. And since the sum of their ages \n" ); document.write( "is 105, then Riza must be 105 - 40 or 65 years old. \n" ); document.write( ". \n" ); document.write( "And since Riza is now 65 years old, then 40 years ago she was 25 years old, and since her son \n" ); document.write( "is now 40 years old, 40 years ago he was 0 and therefore was a new born. \n" ); document.write( ". \n" ); document.write( "Everything seems to work out, so the answer of Riza presently being 65 and her son presently \n" ); document.write( "being 40 years old is correct. \n" ); document.write( ". \n" ); document.write( "Hope this helps you to see how you can just think your way through problems such as these. \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( " |