document.write( "Question 529115: Ben is 5 more than 3 times as old as henry. in 5 years the sum of thier ages will be 79. how old is henry now \n" ); document.write( "

Algebra.Com's Answer #349582 by Maths68(1474) $\"\"$ $\"About$

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Let
\n" ); document.write( "Present age of Ben = b
\n" ); document.write( "Present age of Henry = h\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Ben is 5 more than 3 times as old as Henry.
\n" ); document.write( "b=3h+5.............(1)\r
\n" ); document.write( "\n" ); document.write( "In 5 years
\n" ); document.write( "Ben will be = b+5
\n" ); document.write( "Henry will be = h+5\r
\n" ); document.write( "\n" ); document.write( "Then
\n" ); document.write( "The sum of their ages will be 79\r
\n" ); document.write( "\n" ); document.write( "(b+5)+(h+5)=79
\n" ); document.write( "b+5+h+5=79
\n" ); document.write( "b+h+10=79
\n" ); document.write( "b+h=79-10
\n" ); document.write( "b+h=69..............(2)
\n" ); document.write( "Put the value of b from (1) to (2)
\n" ); document.write( "3h+5+h=69
\n" ); document.write( "4h=69-5
\n" ); document.write( "4h=64
\n" ); document.write( "4h/4=64/4
\n" ); document.write( "h=16
\n" ); document.write( "Put the value of h in (1)
\n" ); document.write( "b=3h+5
\n" ); document.write( "b=3(16)+5
\n" ); document.write( "b=48+5
\n" ); document.write( "b=53\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Present age of Ben = b = 53 years old
\n" ); document.write( "Present age of Henry = h = 16 years old
\n" ); document.write( " \n" ); document.write( "

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