SOLUTION: 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

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
Answer by mananth(16946) (Show Source): 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

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