document.write( "Question 342360: please help me solve this: A father is four times as old as his son. In six years time,their combined ages will be 57. How old is the father now? \n" ); document.write( "
Algebra.Com's Answer #245026 by MathTherapy(10555)![]() ![]() You can put this solution on YOUR website! please help me solve this: A father is four times as old as his son. In six years time,their combined ages will be 57. How old is the father now?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let father's age be F years\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Since the father is four times as old as the son, then the son's age is \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In six year's time, the father will be (F + 6) years-old, and the son: \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Also, since in 6 year's time, their combined ages will be 57, then we'll have: \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Multiplying the equation by it's LCD, 4, we get: \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4F + 24 + F + 24 = 228 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "5F + 48 = 228\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "5F = 228 - 48\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "5F = 180\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "F, or father's age is: |