I have a problem. Conner's age is 4 and josh's age is 12. I need to find out how many years until conner is half of josh's age and I am not sure how to put this in equation form.

In x years, Conner will be half of Josh's age. They are 4 and 12 respectively.

In equation form, you would do as though x is a number,
In x years, Conner will be 4+x years old, and Josh will be 12+x.
Therefore
2*(4+x) = 12+x

2(4+x)=12+x

8+2x =12+x
2x =4+x
x=4

Chase is 5 years older than Naomi. In 7 years the sum of their ages will be 71. How old is Chase now

Chase is 5 years older than Naomi. In 7 years the sum of their ages will be 71. How old is Chase now

To solve this problem, let's start by setting up an equation. We need to find the number of years until Connor's age is half of Josh's age.

Let's represent the number of years as 'x'.

After 'x' years, Connor's age will be '4 + x' and Josh's age will be '12 + x'.

We know that Connor's age will be half of Josh's age, so we can set up the equation:

4 + x = (12 + x) / 2

Now, let's solve for 'x' to find the number of years until Connor's age is half of Josh's age.

To do that, we can start by multiplying both sides of the equation by 2 to eliminate the fraction:

2(4 + x) = 12 + x

Simplify the equation:

8 + 2x = 12 + x

Next, let's isolate 'x' by subtracting 'x' from both sides:

8 + 2x - x = 12

Simplify the equation:

8 + x = 12

Now, subtract 8 from both sides:

8 + x - 8 = 12 - 8

Simplify the equation:

x = 4

Therefore, it will take 4 years until Connor's age is half of Josh's age.