Answer: daughter = 6 years
mother = 30 years
Explanation:
Let the daughter's age be x and the mother's age be y , then from the first statement
y = 5x .......................... equation 1
In 6 years time , the mother will be y + 6 and the daughter will be x + 6 ,from the second statement , we have
y + 6 = 3 ( x + 6 )
y + 6 = 3x + 18 ..................................... equation 2
substituting equation 1 into equation 2 , we have
5x + 6 = 3x + 18
5x - 3x = 18 - 6
2x = 12
x = 6
Therefore , the daughter's age is 6 years ,then the mother's age will be 6x5 = 30 years