document.write( "Question 998386: A mother's age is now 3 times that of her son. 8 years ago, the mother's age was greater than 4 times that of her son by 4. Find the son's present age. \n" ); document.write( "
Algebra.Com's Answer #616283 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! let m = Mom's age \n" ); document.write( "let s = son's age: \n" ); document.write( "write an equation for each statement \n" ); document.write( ": \n" ); document.write( " A mother's age is now 3 times that of her son. \n" ); document.write( "m = 3s \n" ); document.write( ": \n" ); document.write( "8 years ago, the mother's age was greater than 4 times that of her son by 4. \n" ); document.write( "m - 8 = 4(s - 8) + 4 \n" ); document.write( "m - 8 = 4s - 32 + 4 \n" ); document.write( "m = 4s - 28 + 8 \n" ); document.write( "m = 4s - 20 \n" ); document.write( "Replace m with 3s from the 1st statement \n" ); document.write( "3s = 4s - 20 \n" ); document.write( "20 = 4s - 3s \n" ); document.write( "20 = s \n" ); document.write( ": \n" ); document.write( " Find the son's present age. 20 yrs \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Confirm this. Mom is 3(20) = 60 yrs \n" ); document.write( "Check this in the 2nd statement \n" ); document.write( "\"8 years ago, the mother's age was greater than 4 times that of her son by 4.\" \n" ); document.write( "60 - 8 = 4(20 - 8) + 4 \n" ); document.write( "52 = 4(12) + 4 \n" ); document.write( "52 = 48 + 4 \n" ); document.write( " |