SOLUTION: The present age average of a couple & their daughter is 35 years.Fifteen years from now,the age of the mother will be equal to the sum of present ages of the father & the daughter

Question 817693: The present age average of a couple & their daughter is 35 years.Fifteen years from now,the age of the mother will be equal to the sum of present ages of the father & the daughter . Find the present age of the mother.
(A)45 years
(B)40 years
Found 2 solutions by mananth, TimothyLamb:
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
let father's age be x
daughter's age be y
mother's age = z
(x+y+z)/3= 35
x+y+z=105
z= 105-(x+y)
15 years hence
105-(x+y)+15 = x+y
120-x-y=x+y
2x+2y=120
/2
x+y=60
z= 105-60
z= 45 mothers age
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
(m + f + d)/3 = 35
m + f + d = 105
m + 15 = f + d
---
m + f + d = 105
m + m + 15 = 105
2m = 90
---
answer:
m = 45
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Convert fractions, decimals, and percents:
https://sooeet.com/math/fraction-decimal-percent.php
---
Calculate and graph the linear regression of any data set:
https://sooeet.com/math/linear-regression.php
RELATED QUESTIONS
when the current age of the mother is added to the present age of the daughter is 40... (answered by Alan3354)
Shaman mother present age is 7 times shaman present age. 2 years from now shaman will be (answered by JulietG)
Fifteen years from now the age of Ankur will be four times from his present age. What is... (answered by musicmaster4)
Four years from now a mother will be 5 times the age of her daughter. At present she will (answered by math-vortex)
A mother after 5 years will be twice the age of her daughter. The difference of their... (answered by Boreal,greenestamps)
The present age of a woman is 3 years more than three times the age of her daughter.... (answered by josgarithmetic)
five years from now, the sum of the ages of a woman and her daughter will be 40 years.... (answered by stanbon)
The sum of ages of mother and her daughter is 50 years.After 20 years mothers age will be (answered by ankor@dixie-net.com)
Ria's mother age is four times of her age now. in 20 years the mother will be twice as... (answered by sachi)