SOLUTION: William is 1/6 as old as his father but 5 years older than his sister Mary. If the sum of all their ages is 51, how old is William

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: William is 1/6 as old as his father but 5 years older than his sister Mary. If the sum of all their ages is 51, how old is William       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1124086: William is 1/6 as old as his father but 5 years older than his sister Mary. If the sum of all their ages is 51, how old is William
Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52790) About Me  (Show Source):
You can put this solution on YOUR website!
.
William + Father + Mary  = 51.


W       + 6W     + (W-5) = 51     (<<<---=== Father = 6*William;  Mary = William -5)


8W = 51 + 5 = 56  ====>  W = 56/8 = 7.



Answer.  William is 7 years old;  the father is 6*7 = 42 years old;  Mary is 7-5 = 2 years.


Check.   7 + 42 + 2 = 51.   ! Correct !


Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
William            w
Father            6w
Mary-sister       w-5
TOTAL              51


w%2B6w%2B%28w-5%29=51