SOLUTION: The ages of my sister and her son add up to 27 years. A quarter of my sister’s age is double her son’s age. How old are they?

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: The ages of my sister and her son add up to 27 years. A quarter of my sister’s age is double her son’s age. How old are they?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1085766: The ages of my sister and her son add up to 27 years. A quarter of my sister’s age is double her son’s age. How old are they?
Answer by Edwin McCravy(20059) About Me  (Show Source):
You can put this solution on YOUR website!
S = the age of my sister
N = the age of my nephew (my sister's son)
The ages of my sister and her son (my nephew) add up to 27 years.
S+%2B+N+=+27
A quarter of my sister’s age is double her son’s (my nephew's) age.
expr%281%2F4%29S+=+2N

Solve the system below by substitution.  Before substituting,
you might first multiply the second equation through by 4 to 
clear the fraction.

system%28S%2BN=27%2Cexpr%281%2F4%29S=2N%29

You finish.

Edwin