Question

The sum of the integers p and q is 495. If p is divided by 10, and the result is equal to q, then what is p?

Answer 1

p + q = 495
(sum means to add)

\[\frac{ p }{ 10 }\]
setting THAT equal to q.
thus:
\[p + \frac{ p }{ 10 } = 495\]

Answer 2

p+q=495
p/10=q
p=10q
plug that in first equation
1oq +q=495
11q=495
q=45
p=450

Answer 3

I forgot to mention that
\[q = \frac{ p }{ 10 }\]
which is why you substituted that for q in the original equation.

Answer 4

and solve for p?

Answer 5

Yes. Also, don't forget to solve for "P". Correct :)

Answer 6

@abb0t thnx bro