document.write( "Question 54527: john's age is four less than six times his brother's age and the sum of thier ages is equal to ten.how do you slove this proublem? \n" ); document.write( "

Algebra.Com's Answer #36877 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Let Johns's age = J; Let his brother's age = B
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\n" ); document.write( "Write an equation for each sentence, (the word \"is\" usually means =)
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\n" ); document.write( "\"John's age is four less than six times his brother's age\"
\n" ); document.write( " J = (6 * B) - 4
\n" ); document.write( "or just write it:
\n" ); document.write( " J = (6B - 4)
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\n" ); document.write( "\" the sum of their ages is equal to ten.\"
\n" ); document.write( " J + B = 10
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\n" ); document.write( "In the 1st equation it says J = (6B-4) so substitute that for J in the 2nd eq:
\n" ); document.write( " (6B-4) + B = 10
\n" ); document.write( " 6B - 4 + B = 10
\n" ); document.write( " 7B = 10 + 4
\n" ); document.write( " 7B = 14
\n" ); document.write( " B = 14/7
\n" ); document.write( " B = 2
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\n" ); document.write( "Find out John's age with the 2nd equation:
\n" ); document.write( " J + 2 = 10
\n" ); document.write( " J = 10-2
\n" ); document.write( " J = 8
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\n" ); document.write( "Check our solution in the 1st equation: 6(2) - 4 does indeed = John's age!\r
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