document.write( "Question 634017: A woman is now 30 years older than her son. 15 years ago, she was twice as old. What are the present ages of the woman and her son? \n" ); document.write( "

Algebra.Com's Answer #399326 by Maths68(1474) $\"\"$ $\"About$

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Let
\n" ); document.write( "Present age of woman = w years old
\n" ); document.write( "Present age of son = s years old\r
\n" ); document.write( "\n" ); document.write( "woman is now 30 years older than her son
\n" ); document.write( "w=s+30.........(1)
\n" ); document.write( "15 years ago
\n" ); document.write( "woman was = w-15 years old
\n" ); document.write( "son was = s-15 years old
\n" ); document.write( "Then
\n" ); document.write( "she was twice as old.
\n" ); document.write( "w-15=2(s-15)
\n" ); document.write( "w-15=2s-30
\n" ); document.write( "w=2s-30+15
\n" ); document.write( "w=2s-15...........(2)
\n" ); document.write( "Put the value of w from (1) to (2)
\n" ); document.write( "s+30=2s-15
\n" ); document.write( "s-2s=-15-30
\n" ); document.write( "-s=-45
\n" ); document.write( "s=45
\n" ); document.write( "Put the value of s in (1)
\n" ); document.write( "w=s+30.........(1)
\n" ); document.write( "w=45+30
\n" ); document.write( "w=75\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Present age of woman = w = 75 years old
\n" ); document.write( "Present age of son = s = 45 years old \n" ); document.write( "

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