document.write( "Question 433361: seven years ago father's age was 5 times of his son's age. 14 years hence their age will be the ratio of 7:3. what is the present age of father \n" ); document.write( "
Algebra.Com's Answer #300428 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! seven years ago father's age was 5 times of his son's age. 14 years hence their age will be the ratio of 7:3. what is the present age of father \n" ); document.write( "------------- \n" ); document.write( "(f-7)=5(s-7) \n" ); document.write( "(f+14)/(s+14) = 7/3 \n" ); document.write( "------- \n" ); document.write( "Rearrange: \n" ); document.write( "f = 5s-28 \n" ); document.write( "---- \n" ); document.write( "Substitute and solve for \"s\": \n" ); document.write( "(5s-28+14)/(s+14) = 7/3 \n" ); document.write( "Cross multiply: \n" ); document.write( "3(5s-14) = 7(s+14) \n" ); document.write( "15s-42 = 7s+98 \n" ); document.write( "8s = 140 \n" ); document.write( "s = 35/2 (son's age now) \n" ); document.write( "---- \n" ); document.write( "Solve for \"f\": \n" ); document.write( "f = 5s-28 \n" ); document.write( "f = 5*35/2-28 \n" ); document.write( "f = 175/2-28 \n" ); document.write( "f = 59.5 (father's age now) \n" ); document.write( "============ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "============ \n" ); document.write( " |