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 #832710 by math_tutor2020(3817)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "x = the son's age 4 years ago \n" ); document.write( "4x = the mother's age 4 years ago\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Fast-forward 4 years to the present day \n" ); document.write( "x+4 = the son's present age \n" ); document.write( "4x+4 = the mother's present age\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Then fast-forward another 4 years \n" ); document.write( "(x+4)+4 = x+8 = the son's age 4 years into the future \n" ); document.write( "(4x+4)+4 = 4x+8 = the mother's age 4 years into the future\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "These future ages add to 56 \n" ); document.write( "(x+8)+(4x+8) = 56 \n" ); document.write( "5x+16 = 56 \n" ); document.write( "5x = 56-16 \n" ); document.write( "5x = 40 \n" ); document.write( "x = 40/5 \n" ); document.write( "x = 8\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The son was 8 years old four years ago. \n" ); document.write( "His mother was 4x = 4*8 = 32 years old four years ago.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Fast-forward 8 years and the son and mother will be 8+8 = 16 and 32+8 = 40 respectively. \n" ); document.write( "We can see that 16+40 = 56 to help confirm we have the correct ages.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Since the son was 8 years old when she was 32, we can rewind 8 years to find that the mother was 32-8 = 24 years old when her son was born.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer: 24 years old \n" ); document.write( " \n" ); document.write( " |