document.write( "Question 1190109: Ivan’s father is twice as old as Ivan. In 15 years, Ivan will be two-thirds as old as his father. How old is Ivan’s father? \n" ); document.write( "

Algebra.Com's Answer #821687 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Ivan’s father is twice as old as Ivan.
\n" ); document.write( "f = 2I
\n" ); document.write( ":
\n" ); document.write( "In 15 years, Ivan will be two-thirds as old as his father.
\n" ); document.write( "I + 15 = $\"2%2F3\"$ (f+15)
\n" ); document.write( "Multiply by 3 to get rid of the denominator
\n" ); document.write( "3(I+15) = 2(f+15)
\n" ); document.write( "distribute
\n" ); document.write( "3I + 45 = 2f + 30
\n" ); document.write( "3I - 2f = 30 - 45
\n" ); document.write( "3I - 2f = -15
\n" ); document.write( "replace f with 2I from the first equation
\n" ); document.write( "3I - 2(2I) = -15
\n" ); document.write( "3I - 4I = -15
\n" ); document.write( "-I = -15
\n" ); document.write( "mult by -1, therefore
\n" ); document.write( "I = 15 yrs is Ivan's age
\n" ); document.write( "then obviously, 30 is father's age
\n" ); document.write( ":
\n" ); document.write( "You can confirm this, check it in the statement
\n" ); document.write( "\" In 15 years, Ivan will be two-thirds as old as his father. \"
\n" ); document.write( " \n" ); document.write( "

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