document.write( "Question 936158: THE SUM OF AGES OF HUSBAND AND HIS WIFE IS 4 TIMES THE SUM OF AGES OF THEIR CHILDREN.4 YEARS AGO THE RATIO OF THEIR AGES TO THE AGES OF THEIR CHILDREN WAS 18:1.
\n" ); document.write( "2 YEARS HENCE THE RATIO WILL BE 3:1 . hOW MANY CHILDREN DO THEY HAVE? \n" ); document.write( "
Algebra.Com's Answer #569795 by ankor@dixie-net.com(22740)\"\" \"About 
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let p = present sum of the parents ages
\n" ); document.write( "let c = present sum of the children's ages
\n" ); document.write( "let n = number of children
\n" ); document.write( ":
\n" ); document.write( "THE SUM OF AGES OF HUSBAND AND HIS WIFE IS 4 TIMES THE SUM OF AGES OF THEIR CHILDREN.
\n" ); document.write( "p = 4c
\n" ); document.write( "4 YEARS AGO THE RATIO OF THEIR AGES TO THE AGES OF THEIR CHILDREN WAS 18:1
\n" ); document.write( "That will reduce the sum of the parents ages by 8, the children's age by 4n
\n" ); document.write( "p - 8 = 18(c-4n)
\n" ); document.write( "p - 8 = 18c - 72n
\n" ); document.write( "replace p with 4c
\n" ); document.write( "4c - 8 = 18c - 72n
\n" ); document.write( "subtract 18c from both sides and rearrange to:
\n" ); document.write( "-14c + 72n = 8
\n" ); document.write( ":
\n" ); document.write( "2 YEARS HENCE THE RATIO WILL BE 3:1.
\n" ); document.write( "that will increase the parents age sum by 4, the children's age by 2n
\n" ); document.write( "p + 4 = 3(c + 2n)
\n" ); document.write( "p + 4 = 3c + 6n
\n" ); document.write( "replace p with 4c
\n" ); document.write( "4c + 4 = 3c + 6n
\n" ); document.write( "subtract 3c from both sides and rearrange to:
\n" ); document.write( "c = 6n - 4
\n" ); document.write( ":
\n" ); document.write( "In the first equation replace c with (6n-4)
\n" ); document.write( "-14(6n-4) + 72n = 8
\n" ); document.write( "-84n + 56 + 72n = 8
\n" ); document.write( "-12n = 8 - 56
\n" ); document.write( "-12n = -48
\n" ); document.write( "n = -48/-12
\n" ); document.write( "n = +4 children
\n" ); document.write( ":
\n" ); document.write( "Check this out, find c
\n" ); document.write( "c = 6(4) - 4
\n" ); document.write( "c = 24 - 4
\n" ); document.write( "c = 20 is sum of the children's age
\n" ); document.write( "then
\n" ); document.write( "4(20) = 80 is the sum of parents
\n" ); document.write( "Check this in the 1st equation; p - 8 = 18(c-4n)
\n" ); document.write( "80 - 8 = 18(20 - 4(4))
\n" ); document.write( "72 = 18(20-16)
\n" ); document.write( "72 = 18(4)\r
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