Question 561142: a mother is 20 years older than her daughter. in 7 years the mother will be 3 times as old as her daughter, how old are they Found 2 solutions by josmiceli, mananth:Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! Let = Mother's age now
Let = Daughter's age now = Mother's age in 7 years = Daughter's age in 7 years
given:
(1)
(2)
-----------------------
(2)
(2)
and
(1)
Subtract (2) from (1)
(1)
(2)
and, since
(1)
(1)
(1)
The Mother is 23 and the Daughter is 3
check:
(2)
(2)
(2)
OK
You can put this solution on YOUR website! daughter =x
mother = x+20
in 7 years
daughter = x+7
mother = (x+20) + 7= x+27
x+27 = 2(x+7)
x+27=2x+14
2x-x=27-14
x=13 -- daughter's age
mother's age 13+20 = 33 years
