Maria and Katy have string Maria's is 6 cm longer that Katy's. When they put both of the strings together the total is 84 How long is Maria's string and how long is Katy's sting

Maria's string is 45 cm long and Katy's string is 39 cm long

Step-by-step explanation:

Let's call the size of Maria's string X, and the size of Katy's string Y.

So, using the information from the problem, we can formulate a system of equations:

If Maria's string is 6 cm longer than Katy's, so:

X = Y + 6

If the strings together have 84 cm, so:

X + Y = 84

The first equation can be rewritten as X - Y = 6

Summing up both equation, we have that:

2X = 90

X = 45

Using X value in the first equation, we have that:

45 = Y + 6

Y = 39

So, Maria's string is 45 cm long and Katy's string is 39 cm long