Question

Suppose some number A is increased by 20%, then the resulting number decreased by 10%. If the final number is 432, what is the value of A?

Answer 1

You just need to model this scenario from words to math, and then the math is easy.

You have the number A, and it is increased by 20%:
\(1.20(A)\)
Now, you decrease the final product by 10%
\(0.90(1.20(A))\)
And you know this whole thing equals 432
\(0.90(1.20(A))=432\)
Now you can just solve for A by either distributing in first and then isolating A or just dividing twice. Your choice.