Question

a mother is 24 years,older than her daughter . If the daughters age is x years.(a) express the mothers age in terms of x.(b) find x when the daughters age is 1/3 of her mothers age.

Answer 1

(a) The mother's age can be expressed as x + 24 years.

(b) We can set up the equation:

x = (1/3)(x + 24)

Multiplying both sides by 3, we get:

3x = x + 24

Subtracting x from both sides, we get:

2x = 24

Dividing both sides by 2, we get:

x = 12

Therefore, when the daughter's age is 1/3 of her mother's age, the daughter is 12 years old and the mother is 36 years old.