document.write( "Question 87286: Kabz is 12 years older than Jane. In 10 years twice Kabz's age decrease by Jane's will be 35. Find their ages now.: Kabz is 5 years older than Jane. In 10 years twice Kabz's age decrease by Jane's will be 35. Find their ages now.\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #63282 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Write an expression for each phrase
\n" ); document.write( ":
\n" ); document.write( "\"Kabz is 12 years older than Jane.\"
\n" ); document.write( "K = J + 12
\n" ); document.write( ":
\n" ); document.write( "\"In 10 years\":
\n" ); document.write( "K+10
\n" ); document.write( "and
\n" ); document.write( "J+10
\n" ); document.write( ":
\n" ); document.write( "\"In 10 yrs twice Kabz's age decrease by Jane's will be 35.
\n" ); document.write( "2(K+10) - (J+10) = 35
\n" ); document.write( "2K + 20 - J - 10 = 35
\n" ); document.write( "2K +10 - J = 35
\n" ); document.write( "2K + 10 - 35 = +J
\n" ); document.write( "Therefore:
\n" ); document.write( "J = 2K - 25
\n" ); document.write( ":
\n" ); document.write( "Find their ages now.:
\n" ); document.write( "Substitute (J+12) for K
\n" ); document.write( "J = 2(J+12) - 25
\n" ); document.write( "J = 2J + 24 - 25
\n" ); document.write( "J - 2J = -1
\n" ); document.write( "-J = -1
\n" ); document.write( "J = 1 yr old now
\n" ); document.write( ":
\n" ); document.write( "That makes K = 1+12 = 13 yrs old now
\n" ); document.write( ":
\n" ); document.write( "Check solution using \"In 10 yrs twice Kabz's age decrease by Jane's will be 35.
\n" ); document.write( "2(23) - 11 = 35
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Kabz is 5 years older than Jane. In 10 years twice Kabz's age decrease by Jane's will be 35. Find their ages now.
\n" ); document.write( ":
\n" ); document.write( "K = J + 5
\n" ); document.write( "Take the equation we created above:
\n" ); document.write( "J = 2K - 25
\n" ); document.write( ":
\n" ); document.write( "Now substitute (J+5) for K in the above equation:
\n" ); document.write( "J = 2(J+5) - 25
\n" ); document.write( "J = 2J + 10 - 25
\n" ); document.write( "J = 2J - 15
\n" ); document.write( "J - 2J = -15
\n" ); document.write( "-J = -15
\n" ); document.write( "J = 15 yrs old now
\n" ); document.write( "Therefore:
\n" ); document.write( "K = 15 + 5 = 20 yrs old now
\n" ); document.write( ":
\n" ); document.write( "Check solution using: \"In 10 yrs twice Kabz's age decrease by Jane's will be 35\"
\n" ); document.write( "2(30) - 25 = 35
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Did this help?\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( ":
\n" ); document.write( " \n" ); document.write( "
\n" );