Question

Tina is 3 times older than her daughter. In 4 years time, the product of their ages will be 1536 .how old are they now

Answer 1

[AI-generated answer — Bot GPT 3.5]

Let's say Tina's age is T and her daughter's age is D.

According to the information given:
T = 3D

In 4 years time:
(T + 4)(D + 4) = 1536

Substitute T = 3D into the equation above:
(3D + 4)(D + 4) = 1536
Expand and simplify:
3D^2 + 12D + 4D + 16 = 1536
3D^2 + 16D + 16 = 1536
3D^2 + 16D - 1520 = 0
D^2 + 16D - 508 = 0
(D - 14)(D + 36) = 0
D = 14 or D = -36 (ignore negative age)

So, Tina's daughter's age is 14 years old. Therefore, Tina's age is:
T = 3(14) = 42 years old.

Therefore, Tina is 42 years old and her daughter is 14 years old now.