document.write( "Question 756487: five years ago a woman age was the sqouare of her son age.ten years hence the mother age was twice of his son age 1 find the present age of woman 2 the age of son five years ago
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Algebra.Com's Answer #460223 by ankor@dixie-net.com(22740)\"\" \"About 
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five years ago a woman age was the square of her son age.
\n" ); document.write( "ten years hence the mother age was twice of his son age.
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\n" ); document.write( "Let m = mother's age
\n" ); document.write( "Let s = son's age
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\n" ); document.write( "m - 5 = (s-5)^2
\n" ); document.write( "m - 5 = s^2 - 10s + 25
\n" ); document.write( "m = s^2 - 10s + 25 + 5
\n" ); document.write( "m = s^2 - 10s + 30
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\n" ); document.write( "We also know,\"ten years hence the mother age was twice of his son age\"
\n" ); document.write( "m + 10 = 2(s+10)
\n" ); document.write( "m + 10 = 2s + 20
\n" ); document.write( "m = 2s + 20 - 10
\n" ); document.write( "m = 2s + 10
\n" ); document.write( "therefore
\n" ); document.write( "s^2 - 10s + 30 = 2s + 10
\n" ); document.write( "s^2 - 10s - 2s + 30 - 10 = 0
\n" ); document.write( "A quadratic equation
\n" ); document.write( "s^2 - 12s + 20 = 0; Corrected a mistake here, Sorry!
\n" ); document.write( "Factors to
\n" ); document.write( "(s-10)(s-2) = 0
\n" ); document.write( "The only solution that will make sense here.
\n" ); document.write( "s = 10 yrs old is son's age
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\n" ); document.write( "I'll let you find Mom's age, check solutions in both statements. \n" ); document.write( "
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