I'm thinking of two numbers: a and b. The sum of my numbers (a + b) is 6.7, and their
difference (a - b) is 4.3.
What are my two numbers?

5.5 and 1.2

Step-by-step explanation:

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb

the answer is 9 because the question is telling how much it be together.