The sum of Ivy's and Audrey's ages is 27. Nine years ago, Ivy was twice as old as Audrey. How old is each now?

Ivy is 15 years old and Audrey is 12 years old.

Step-by-step explanation:

Let Ivy's age be and Audrey's age be .

Since the sum of their ages is 27, we can write the equation .

Next, we'll write a second equation from the fact that 9 years ago Ivy was twice as old as Audrey. Nine years ago, Ivy and Audrey's ages were and , respectively. Therefore, we have

Let's isolate by adding 9 to both sides:

Distribute:

Now substitute into our first equation:

Therefore, Ivy's age must be:

Thus, Ivy must be 15 years old and Audrey must be 12 years old.

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation: