document.write( "Question 250944: Tulu was 24 years older than Hadas six years ago. Tulu was five times as old as Hadas at that time. Find the present ages of Tulu and Hadas. \n" ); document.write( "

Algebra.Com's Answer #184390 by drk(1908) $\"\"$ $\"About$

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Let T = Tulu and H = Hadaz.
\n" ); document.write( "Tulu was 24 years older than Hadas six years ago.
\n" ); document.write( "we can express this as:
\n" ); document.write( "(i) $\"T+=+H+%2B+24\"$ .
\n" ); document.write( "6 years ago, means -6 for both people, but that will not make any difference in this part of the question, so we don't use it now.
\n" ); document.write( "Tulu was five times as old as Hadas at that time. We have another equation expressed as:
\n" ); document.write( "(ii) $\"T+=+5H\"$ .
\n" ); document.write( "Substituting (ii) into (i), we get
\n" ); document.write( "(iii) $\"5H+=+H+%2B+24\"$
\n" ); document.write( "We can solve for H as
\n" ); document.write( "H = 6. This means that T = 30. Now we use the 6 years. These are their ages 6 years ago. Add 6 to both ages and we get
\n" ); document.write( "T = 12
\n" ); document.write( "H = 36. \n" ); document.write( "

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