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.
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
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