document.write( "Question 1062174: The age of father is twice that of the elder son . Ten years hence the age of father will be be three times that of younger son . If the difference between of ages of the two sons is 15 years then the age of father \n" ); document.write( "
Algebra.Com's Answer #677005 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "The age of father is twice that of the elder son. Ten years hence the age of father will be be three times that of younger son. \n" ); document.write( "If the difference between of ages of the two sons is 15 years then the age of father \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "Let \"x\" be the present age of the elder son.\r\n" ); document.write( "Then the father's present age is 2x, while the younger son's present age is (x-15).\r\n" ); document.write( "\r\n" ); document.write( "In 10 years: The father's age will be (2x)+10.\r\n" ); document.write( " the younger son's age will be (x-15) + 10 = x-5.\r\n" ); document.write( "\r\n" ); document.write( "From the other side, in ten years the age of the father will be 3(x-5).\r\n" ); document.write( "\r\n" ); document.write( "Thus you get an equation\r\n" ); document.write( "\r\n" ); document.write( "2x + 10 = 3(x-5).\r\n" ); document.write( "\r\n" ); document.write( "Simplify and solve for x:\r\n" ); document.write( "\r\n" ); document.write( "2x + 10 = 3x - 15 ---> 10 + 15 = 3x - 2x ---> x = 25.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Answer. The elder son's present age is 25 years. \n" ); document.write( " The younger son's pesent age is 25-15 = 10 years. \n" ); document.write( " The father's present age is 2*25 = 50 years. \n" ); document.write( "\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "There is a bunch of lessons on age word problems \r \n" ); document.write( "\n" ); document.write( " - Age problems and their solutions\r \n" ); document.write( "\n" ); document.write( " - A fresh formulation of a traditional age problem\r \n" ); document.write( "\n" ); document.write( " - Really intricate age word problem\r \n" ); document.write( "\n" ); document.write( " - Selected age word problems from the archive\r \n" ); document.write( "\n" ); document.write( " - Age problem for the day of April, 1 \r \n" ); document.write( "\n" ); document.write( " - OVERVIEW of lessons on age problems\r \n" ); document.write( "\n" ); document.write( "in this site.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Read them and become an expert in solving age problems.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r \n" ); document.write( "\n" ); document.write( " - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic \"Age word problems\".\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |