James and Lin got married and got new jobs. Lin earns $3500 more per year than James. Together they earn $82,320. How much does each of them earn per year?

James earns $39,410 a year.

Lin earns $42,910 a year.

Step-by-step explanation:

You can answer this by setting up a system of equations.

Let's say we have j, for James, and l, for Lin.

Lin earns $3,500 more than James per year. Let's put that into an equation.

j+3500 = l

And, together, they earn $82,320. Let's put that into an equation too.

j+l = 82320

We can take what we got from our first equation and plug that into the second one.

j + (j+3500) = 82320

2j+3500 = 82320

2j = 78820

j = 39410

Now we know that James earns $39,410 a year. All we have to do is add $3,500.

39410+3500 = 42910

We'll double check by adding Lin's and James' incomes together.

42910+39410=82320

Therefore ...

James earns $39,410 a year.

Lin earns $42,910 a year.

James earn = $39410, Lin earn = $42910.

Step-by-step explanation:

Given : Lin earns $3500 more per year than James. Together they earn $82,320.

To find : How much does each of them earn per year.

Solution : We have given

Lin earns $3500 more per year than James.

According to question:

Let the James earn per year = x.

Lin earn per year = 3500 + x.

So, Together they earn $82,320.

James earning + Lin earning = $82,320.

Plugging the values.

x + 3500 + x = $82,320.

2x + 3500 = $82,320.

On subtracting both sides by 3500

2x = $82,320 - 3500.

2x = 78820

On dividng both sides by 2

x = 39410.

James earn = $39410.

Lin earn = $39410 + 3500

Lin earn = $42910.

Therefore, James earn = $39410, Lin earn = $42910.