Math 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?

Josh had $18 and Carly had $8.

Step-by-step explanation:

Given:

Josh had $10 more than Carly.

Josh gave Carly half of his money, then Carly had more money than josh, so she gave Josh $4. Then they both had $13.

Question asked:

How much money did each person start?

Solution:

Let Carly start with money be

Then, Josh start with =

According to question:

For Josh :  

Josh gave Carly half of $10 and received $4 from Carly having $13 at last, so the equation will be:-

Subtracting both sides by 9,

Multiplying both sides by 2,

Carly start with money be = $8

Josh start with = = 8 + 10 = $18

Therefore, at starting, Josh had $18 and Carly had $8.

The answer is

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

1 the 1st term, 3 the 2nd term, 6 the 3rd term,etc.

note the following:

from the 1st term (1) to the 2nd term (3), we go up by 2,from the 2nd term (3) to the 3rd term (6), we go up by 3from the 3rd term (6) to the 4th term (10), we go up by 4, andfrom the 4th term (10) to the 5th term (15), we go up by 5.

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for