document.write( "Question 556802: in a family mother's age is twice that of daughters age father is 10 years older than mother. brother is 20 years younger than mother and 5 years older than his sister. what is fathers age. \n" ); document.write( "
Algebra.Com's Answer #362350 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Let f = father's age \n" ); document.write( "Let m = mother's age \n" ); document.write( "Let d = daughter's (sister) age \n" ); document.write( "Let s = son's (brother) age \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement \n" ); document.write( ": \n" ); document.write( "\"mother's age is twice that of daughters age\" \n" ); document.write( "m = 2d \n" ); document.write( ": \n" ); document.write( "\"father is 10 years older than mother.\" \n" ); document.write( "f = m + 10 \n" ); document.write( ": \n" ); document.write( "rearrange the next two equations for elimination. \n" ); document.write( "\"brother is 20 years younger than mother\" \n" ); document.write( "s = m - 20 \n" ); document.write( "replace m with 2d and you have \n" ); document.write( "s = 2d - 20 \n" ); document.write( "s - 2d = -20 \n" ); document.write( "multiply by -1 \n" ); document.write( "-s + 2d = 20 \n" ); document.write( ": \n" ); document.write( "\"and 5 years older than his sister. \" \n" ); document.write( "s = d + 5 \n" ); document.write( "s - d = 5 \n" ); document.write( "; \n" ); document.write( "Use these two equation for elimination \n" ); document.write( "-s + 2d = 20 \n" ); document.write( " s - d = 5 \n" ); document.write( "--------------addition eliminates s, find d \n" ); document.write( "d = 25 is daughter's age \n" ); document.write( ": \n" ); document.write( "we know m = 2d \n" ); document.write( "m = 2(25) \n" ); document.write( "m = 50 yrs is Mom's age \n" ); document.write( "then \n" ); document.write( "f = m + 10 \n" ); document.write( "f = 50 + 10 \n" ); document.write( "f = 60 yrs is father's age, which is what they want\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |