document.write( "Question 104495: Three years ago, Milcah is 3 times older than Joshua. 4 years from now, Milcah is 8 years older than Joshua. Find Joshua's and Milcah's age. \n" ); document.write( "
Algebra.Com's Answer #76162 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Three years ago, Milcah is 3 times older than Joshua. 4 years from now, Milcah is 8 years older than Joshua. Find Joshua's and Milcah's age. \n" ); document.write( ": \n" ); document.write( "M = M's age now \n" ); document.write( "J = J's age now \n" ); document.write( ": \n" ); document.write( "Write what it says: \n" ); document.write( "\"Three years ago, Milcah is 3 times older than Joshua.\" \n" ); document.write( "(M-3) = 3(J-3) \n" ); document.write( "M - 3 = 3J - 9; multiplied what's inside the brackets \n" ); document.write( "M = 3J - 9 + 3 \n" ); document.write( "M = (3J-6) \n" ); document.write( ": \n" ); document.write( "\"4 years from now, Milcah is 8 years older than Joshua.\" \n" ); document.write( "M+4 = (J+4) + 8 \n" ); document.write( "M + 4 = J + 12 \n" ); document.write( "M = J + 12 - 4 \n" ); document.write( "M = J + 8 \n" ); document.write( ": \n" ); document.write( "Find Joshua's and Milcah's age. \n" ); document.write( "Substitute (3J-6) for M in the above equation: \n" ); document.write( "3J - 6 = J + 8 \n" ); document.write( "3J - J = 8 + 6 \n" ); document.write( "2J = 14 \n" ); document.write( "J = 14/2 \n" ); document.write( "J = 7 yrs; J's age now \n" ); document.write( ": \n" ); document.write( "Find M: \n" ); document.write( "M = J + 8 \n" ); document.write( "M = 7 + 8 \n" ); document.write( "M = 15 yrs; M's age now \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution using the statement: \n" ); document.write( "\"Three years ago, Milcah is 3 times older than Joshua.\" \n" ); document.write( "(15-3) = 3(7-3) \n" ); document.write( " 12 = 3(4); confirms our solution \n" ); document.write( " |