Question

Josh had $10 more than Carly, so he gave Carly half of his money. Then Carly had more money than josh, so she gave Josh $4. Then they both had $13. How much money did each person start?

Answer 1

each person starts with $8.

Step-by-step explanation:

Here we have , Josh had $10 more than Carly, so he gave Carly half of his money. Then Carly had more money than josh, so she gave Josh $4. Then they both had $13. We need to find  How much money did each person start  . Let's find out:

Suppose Carly had $x ,  Josh had $10 more than Carly i.e. $(x+10), so he gave Carly half of his money i.e.

⇒ $\frac{x+10}{2}$ ,Now , Josh have $$\frac{x+10}{2}$  & Carly have $x + \frac{x+10}{2}$ .

Then Carly had more money than josh, so she gave Josh $4 . So ,

Josh now have $$(4+\frac{x+10}{2})$  and  Carly now have $$(x+\frac{x+10}{2} -4)$ . Since both are equal :

⇒  $(x+\frac{x+10}{2} -4) = (4+\frac{x+10}{2})$

⇒  $x-4 = 4$

⇒  $x=8$

Therefore , each person starts with $8.