document.write( "Question 1150389: Twelve years ago my father was twice as old as I was, and three years ago our combined age was 108. How old is my father now? \n" ); document.write( "

Algebra.Com's Answer #771781 by MathTherapy(10552) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "Twelve years ago my father was twice as old as I was, and three years ago our combined age was 108. How old is my father now?
\n" ); document.write( "

Let father's age be F, and my age, M
\n" );
document.write( "Then we get: F - 12 = 2(M - 12)____F - 12 = 2M - 24____F - 2M = - 12 ---- eq (i)
\n" );
document.write( "Also, since their ages summed to 108, 3 years ago, then now, their ages sum to 108 + 2(3) = 108 + 6 = 114
\n" );
document.write( "We then get: F + M = 114____M = 114 - F ------ eq (ii)
\n" );
document.write( "F - 2(114 - F) = - 12 ----- Substituting 114 - F for M in eq (i)
\n" );
document.write( "F - 228 + 2F = - 12
\n" );
document.write( "3F = 216
\n" );
document.write( "F, or father's age is: 
\n" );
document.write( "That's ALL!! \n" );
document.write( "

\n" );