SOLUTION: Mary is one year older than four times Tammmy's age. Kelly is three times as old as Mary. If Kelly is twenty-seven, then how old are Mary and Tammy?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Mary is one year older than four times Tammmy's age. Kelly is three times as old as Mary. If Kelly is twenty-seven, then how old are Mary and Tammy?      Log On


   

Question 401528: Mary is one year older than four times Tammmy's age. Kelly is three times as old as Mary. If Kelly is twenty-seven, then how old are Mary and Tammy?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let m = Mary's age now
Let t = Tammy's age now
given:
k = Kelly's age now
k+=+27
m+=+4t+%2B+1
k+=+3m
---------
27+=+3m
m+=+9
and, since
m+=+4t+%2B+1
9+=+4t+%2B+1
4t+=+8
t+=+2
Mary is 9 and Tammy is 2