SOLUTION: The sum of Mary's age and twice Ann's age is 43. Twice Mary's age is 11 more than Ann's age. How old are they?

Question 1064424: The sum of Mary's age and twice Ann's age is 43. Twice Mary's age is 11 more than Ann's age. How old are they?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The sum of Mary's age and twice Ann's age is 43. Twice Mary's age is 11 more than Ann's age. How old are they?
-----------------
M + 2A = 43
2M = A + 11
----------------
Substitute for "A" and solve for "M"::
M + 2(2M-11) = 43
M + 4M - 22 = 43
5M = 65
Mary = 13 yrs
----
A = 2M-11 = 26-11 = 15 yrs (Ann's age)
-------------
Cheers,
Stan H.
-------------
RELATED QUESTIONS
Mary is the younger than her sister Joan. The sum of their age is 15. Twice Joan�s age... (answered by marcsam823)

Mary is the younger than her sister Joan. The sum of their age is 15. Twice Joan�s age... (answered by checkley77)

Robin is twice as old as Jay, Robin is 11 years older than Ann. The total of the ages... (answered by ikleyn,josgarithmetic)

ann is 4 years older than toby bill is twice toby's age if the sum of their ages is 28... (answered by josgarithmetic,ikleyn)

Michael's age plus Phil's age is 44. Twice Phil's age is 4 more than Michael's age. How... (answered by josgarithmetic)

Jack is 3 years younger than twice Mary's age . If the sum of their ages is 90 , how old... (answered by ewatrrr)

The sum of Leilah’s age and Abdul’s age is 34 years. Five years ago, the sum of... (answered by josgarithmetic)

if twice Mary's age is decreased by 7 is the same age as her age increased by ten how... (answered by ankor@dixie-net.com,josgarithmetic)

Mary is 5 years less than twice of age of Paul. The sum of Mary and Paul age is 19. How... (answered by FrankM)