document.write( "Question 1175066: The sum of the ages of Tom and Chloe is 72 years. 10 years ago, Tom's age was 3 times Chloe's age. How old is Tom now?\r
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Algebra.Com's Answer #800586 by MathLover1(20850) $\"\"$ $\"About$

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let Tom’s age be $\"T\"$ and Chloe’s age $\"C\"$ \r
\n" ); document.write( "\n" ); document.write( " if The sum of the ages of Tom and Chloe is $\"72\"$ years, we have\r
\n" ); document.write( "\n" ); document.write( " $\"T%2BC=72\"$ .....eq.1\r
\n" ); document.write( "\n" ); document.write( "if $\"10\"$ years ago Tom's age was $\"3\"$ times Chloe's age, we have\r
\n" ); document.write( "\n" ); document.write( " $\"T-10=3%28C-10%29\"$ .....eq.2\r
\n" ); document.write( "\n" ); document.write( "solve the system:
\n" ); document.write( " $\"T%2BC=72\"$ .....eq.1
\n" ); document.write( " $\"T-10=3%28C-10%29\"$ .....eq.2
\n" ); document.write( "-----------------------------------------
\n" ); document.write( " $\"T-10=3%28C-10%29\"$ ....eq.2...... solve for $\"T\"$
\n" ); document.write( " $\"T=3C-30%2B10\"$
\n" ); document.write( " $\"T=3C-20\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"T%2BC=72\"$ .....eq.1...substitute $\"T\"$ from eq.2
\n" ); document.write( " $\"3C-20%2BC=72\"$ ....solve for $\"C\"$
\n" ); document.write( " $\"4C=72%2B20\"$
\n" ); document.write( " $\"C=92%2F4\"$
\n" ); document.write( " $\"C=23\"$ \r
\n" ); document.write( "\n" ); document.write( "go to\r
\n" ); document.write( "\n" ); document.write( " $\"T=3C-20\"$ .....eq.2, substitute $\"C\"$
\n" ); document.write( " $\"T=3%2A23-20\"$
\n" ); document.write( " $\"T=+69-20\"$
\n" ); document.write( " $\"T=+49\"$
\n" ); document.write( "Tom is $\"T=49\"$ years old now.\r
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