# Question #def8e

##### 2 Answers

Dakota is 48 years old and Patricia is 33 years old.

#### Explanation:

Let

The first statement *Dakota is 15 years older than Patricia* tells us that:

Our second statement *in 9 years, the sum of their ages will be 99* tells us that:

We can simplify this equation to give:

Substituting the second simplified equation into the first original equation:

Simplifying this:

Finally, substituting

Check:

- 48 is indeed 15 more than 33.
#33 + 9 = 42#

#48 + 9 = 57#

#57 + 42 = 99# So yes, the second statement is also true.

Conclusion:

**Dakota is 48 years old and Patricia is 33 years old.**

Pat is 33 and Dakota is 48

#### Explanation:

Let

Pat's age now . . . . . . .

15 years older . . . . . . .

In nine years, their ages will be:

Pat . . . . . .

Dakota . . .

The sum of those future ages is 99.

[Pat's future age} "plus" [Dakota's future age] "equals" [ 99 }

[ . . . .

Solve for

1) Combine like terms

2) Subtract 33 from both sides to isolate the

3) Divide both sides by 2 to isolate

Dakota is 15 years older, which is 48.

Answer:

Pat is 33 years old now.

Dakota's present age is 48

.........................

Check

Their ages in 9 years should add up to 99

In 9 years, Pat will be 42

In 9 years, Dakota will be 57

The total of those ages does equal 99

Check!