kate and alan sell stereos. last month kate sold 24 more stereos than alan. together they sold 164. How many stereos did allan sell?

a + (a+24) = 164

140 2a-140

a=70

To find out how many stereos Alan sold, we can set up equations based on the information given.

Let's assume Alan sold x stereos.

According to the problem, Kate sold 24 more stereos than Alan, so Kate's sales can be represented as x + 24.

Together, they sold 164 stereos, so we can add their individual sales to get the total: x + (x + 24) = 164.

Now, we can solve this equation to find the value of x.

Combining like terms gives us: 2x + 24 = 164.

Next, we can subtract 24 from both sides of the equation: 2x = 164 - 24, which simplifies to 2x = 140.

To isolate x, we divide both sides of the equation by 2: x = 140/2.

Therefore, Alan sold x = 70 stereos.

So, Alan sold 70 stereos.