document.write( "Question 728141: \n" ); document.write( "
Algebra.Com's Answer #445402 by Lisalovemath(2)\"\" \"About 
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Zach is two-sevenths of his father's age this year. Zach is 12. How old is his father?\r
\n" ); document.write( "\n" ); document.write( "You must write an equality equation. That is, we know two things that both represent Zach's age. They are 2/7n and 12. With this, we can write an equation. Also note that n is the father's age.\r
\n" ); document.write( "\n" ); document.write( "2/7n=12
\n" ); document.write( "Now, isolate the n with multiplying both sides by the reciprocal of 2/7 which is 7/2.
\n" ); document.write( "7/2•2/7n=12•7/2
\n" ); document.write( "On the left side of the equal sign, the 7/2 cancels with the 2/7, leaving only the n. On the right side, the 12/1 multiplies with the 7/2 to equal 42.
\n" ); document.write( "Thus, we now know the value of n is 42.
\n" ); document.write( "n=42\r
\n" ); document.write( "\n" ); document.write( "We can check the problem by substituting 42 into our original equation.
\n" ); document.write( "2/7n=12
\n" ); document.write( "2/7(42)=12
\n" ); document.write( "Divide 42 by 2/7.
\n" ); document.write( "12=12
\n" ); document.write( "We know we have found the correct age for the father. His age is 42.
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