SOLUTION: Mary is 9 years younger than Anne. Tom is twice as old as Anne. If the sum of their ages is 95, how old are Mary, Tom, and Anne?

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: Mary is 9 years younger than Anne. Tom is twice as old as Anne. If the sum of their ages is 95, how old are Mary, Tom, and Anne?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1144261: Mary is 9 years younger than Anne. Tom is twice as old as Anne. If the sum of their ages is 95, how old are Mary, Tom, and Anne?
Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.
Let x be the Anne's age.


Then the Mary's age is (x-9) years and Tom's age is 2x years.


The total is


    x + (x-9) + 2x = 95.


Simplify and solve for x.


    4x - 9 = 95,

    4x     = 95 + 9

    4x     = 104

     x     = 104/4 = 26.


ANSWER.  Anne is 26 years old;  Mary is 26-9 = 17 years old;  Tom is  26*2 = 52 years old.


CHECK.   26 + 17 + 52 = 95 years.    ! Correct !