document.write( "Question 849671: Joe's brother is 6 years older than Joe. Two-thirds of his brother's age is 3 years more than three-fourths of his age. How old is Joe? \n" ); document.write( "

Algebra.Com's Answer #511731 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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let j = Joe's age
\n" ); document.write( "let b = brother's age
\n" ); document.write( ":
\n" ); document.write( "Write an equation for each statement:
\n" ); document.write( "\"Joe's brother is 6 years older than Joe.\"
\n" ); document.write( "b = j + 6
\n" ); document.write( "\" Two-thirds of his brother's age is 3 years more than three-fourths of his age.\"
\n" ); document.write( " $\"2%2F3\"$ b = $\"3%2F4\"$ j + 3
\n" ); document.write( "Multiply by 12 to get rid of the denominators, then you have:
\n" ); document.write( "8b = 9j + 36
\n" ); document.write( "Replace b with (j+6) from the 1st statement
\n" ); document.write( "8(j+6) = 9j + 36
\n" ); document.write( "8j + 48 = 9j + 36
\n" ); document.write( "48 - 36 = 9j - 8j
\n" ); document.write( "12 = j
\n" ); document.write( " How old is Joe? 12 yrs old
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check this, we know brother is 18 then
\n" ); document.write( " Two-thirds of his brother's age is 3 years more than three-fourths of his age.\"
\n" ); document.write( " $\"2%2F3\"$ (18) = $\"3%2F4\"$ (12) + 3
\n" ); document.write( "12 = 9 + 3; confirms our solution
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