# Question #b3354

##### 2 Answers

Today Jane is 3 years old and Kenny is 7 years old

#### Explanation:

Their situation after 7 years:

The first term is for Jane and the second term is for Kenny.

Therefore when you solve the above written equation, you will get Jane is 3 years old (x=3). Kenny is 7 years old (right now).

3 years later (starting now)

Jane will be 6 and Kenny will be 10 years old. The equation for this situation is:

Solution to a

We are not asked to find the value of

Solution to b

General case for n years:

#### Explanation:

Jane =

Kenny

It is given that the combined age after 7 years is 24.

Jane

Kenny

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Jane's age today

So we need to determine

Using:

Subtract 18 from both sides (get rid of it from the left)

Divide both sides by 2

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Only need the formula !!!!

Let the combined age at initial condition be

Let the combined age at the time interval

So the combined age at year 3 will be

Initial condition:

Just added the

After 3 years

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