Let m represent the mother’s age and d represent the daughter’s age
m = 3d…(1)
(m-3) = 4(d-3), or
m - 3 = 4d - 12
m = 4d - 12 + 3
m = 4d - 9
m = 4d-9 …(2)
Substitute (1) into (2)
3d = 4d - 9
-d = -9
d = 9
Find the mother’s age by substituting d=9 into equation 1:
m=3d
m=3(9)
m=27
Therefore, the mother is 27 years and the daughter is 9 years old now
