document.write( "Question 1129966: Jack is nine years older than Tina. Jack is four times as old as Ali was three year ago. Ali is eighteen years younger than Jack. how old is tina \n" ); document.write( "

Algebra.Com's Answer #746594 by KMST(5328) $\"\"$ $\"About$

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$\"x\"$ = Tina's age 19
\n" ); document.write( " $\"x%2B9\"$ = Jack's age, because \"Jack is nine years older than Tina.\"
\n" ); document.write( " $\"%28x%2B9%29-18=x-9\"$ = Ali's age, because \"Ali is eighteen years younger than Jack.\"
\n" ); document.write( " $\"%28x-9%29-3=x-12\"$ = how hold Ali was the years ago
\n" ); document.write( " $\"4%28x-12%29=4x-48\"$ = Jack's age, because \"Jack is four times as old as Ali was three year ago.\"
\n" ); document.write( "We see that Jack's age is $\"x%2B9\"$ and $\"4x-48\"$ , so
\n" ); document.write( " $\"4x-48=x%2B9\"$ is our equation.
\n" ); document.write( "Adding $\"-x%2B48\"$ to both sides of the equation,
\n" ); document.write( " $\"4x-48-x%2B48=x%2B9-x%2B48\"$ ,
\n" ); document.write( "and \"collecting like terms\" and simplifying, we get
\n" ); document.write( " $\"3x=57\"$
\n" ); document.write( "Dividing both sides of the equation by 3, we get
\n" ); document.write( " $\"3x%2F3=57%2F3\"$ , which simplifies to
\n" ); document.write( " $\"highlight%28x=19%29\"$ .
\n" ); document.write( "
\n" ); document.write( "So, Tina is $\"highlight%2819%29\"$ ;
\n" ); document.write( "Jack is $\"19%2B9=28\"$ ;
\n" ); document.write( "Ali is $\"28-18=10\"$ ;
\n" ); document.write( "3 years ago Ali was $\"10-3=7\"$ ,
\n" ); document.write( "and Jacks age is four times as much as that: $\"4%2A7=28\"$ . \n" ); document.write( "

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