# A father is four times as old as his daughter. In 6 years, he will be three times as old as she is. How old is the daughter now?

The daughter is

Simplify the second equation by opening the brackets.

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Let ( F ) represent the father's current age and ( D ) represent the daughter's current age.

Given: [ F = 4D ] [ F + 6 = 3(D + 6) ]

Using the first equation, substitute ( F ) in the second equation: [ 4D + 6 = 3(D + 6) ]

Solve for ( D ): [ 4D + 6 = 3D + 18 ] [ 4D - 3D = 18 - 6 ] [ D = 12 ]

So, the daughter is currently 12 years old.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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