Enter the number that makes the following mathematical statement true.(1 point)

Question

(17+p)+15=
(17+
)+p

Answer 1

To make the mathematical statement true, we need to find the value of $x$ such that:

$$(17+p)+15=(17+x)+p$$

We can simplify both sides.

The left-hand side becomes: $$(17+p)+15=17+p+15=32+p$$

The right-hand side becomes: $$(17+x)+p=17+x+p$$

Now we can set the two expressions equal to one another: $$32+p=17+x+p$$

We can subtract $p$ from both sides: $$32=17+x$$

Now, solve for $x$ by subtracting $17$ from both sides: $$32-17=x$$ $$15=x$$

So, the number that makes the statement true is $\boxed{{\displaystyle 15}}$.