document.write( "Question 1134846: The ratio of Kawika’s age to Tony’s age is 3:4. Two years ago, their average age was 12 years. How old is Kawika now? \n" ); document.write( "

Algebra.Com's Answer #752330 by MathLover1(20850) $\"\"$ $\"About$

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\n" ); document.write( "let Kawika’s age be $\"K\"$ and Tony’s age $\"T\"$ \r
\n" ); document.write( "\n" ); document.write( "if the ratio of Kawika’s age to Tony’s age is $\"3%3A4\"$ , we have
\n" ); document.write( " $\"K%2FT=3%2F4\"$ ....solve for $\"T\"$
\n" ); document.write( " $\"4K=3T\"$
\n" ); document.write( " $\"T=4K%2F3\"$ .......eq.1\r
\n" ); document.write( "\n" ); document.write( "Two years ago,
\n" ); document.write( "Kawika’s age was $\"K-2\"$ and Tony’s age was $\"T-2\"$ \r
\n" ); document.write( "\n" ); document.write( "if their average age was $\"12\"$ years, we have\r
\n" ); document.write( "\n" ); document.write( " $\"%28K-2%2BT-2%29%2F2=12\"$
\n" ); document.write( " $\"K%2BT-4=12%2A2\"$
\n" ); document.write( " $\"K%2BT=24%2B4\"$
\n" ); document.write( " $\"K%2BT=28\"$ ....solve for $\"T\"$
\n" ); document.write( " $\"T=28-K\"$ .......eq.1\r
\n" ); document.write( "\n" ); document.write( "from eq.1 and eq.2 we have\r
\n" ); document.write( "\n" ); document.write( " $\"4K%2F3=28-K\"$
\n" ); document.write( " $\"4K=84-3K\"$
\n" ); document.write( " $\"4K%2B3K=84\"$
\n" ); document.write( " $\"7K=84\"$
\n" ); document.write( " $\"K=84%2F7\"$
\n" ); document.write( " $\"K=12\"$ \r
\n" ); document.write( "\n" ); document.write( " answer: Kawika is $\"12\"$ years old now.\r
\n" ); document.write( "\n" ); document.write( " $\"T=28-K\"$ -> $\"T=28-12\"$ -> $\"T=16\"$ \r
\n" ); document.write( "\n" ); document.write( "check the ratio: \r
\n" ); document.write( "\n" ); document.write( " $\"12%2F16=3%2F4\"$ -> $\"cross%2812%293%2Fcross%2816%294=3%2F4\"$ -> $\"3%2F4=3%2F4\"$ ->true\r
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