It could either be 11:9 or 11.../9...
(The dots stand for what the problem is talking about,for example 11 hot dogs per $9
Answer:
16
Step-by-step explanation:
To solve this equation, we need the formula for perfect squares:
or
<em>this is the formula we will use because the signs match the one in the question</em>.
Knowing these, we can set up an equation that assumes that the answer we will end up with is a perfect square.
Work:

- this is the setup for being able to solve for the unknown
, now we need to solve for
.
(I replaced
with
because I'm setting up this question to be a perfect square).

- multiply the left side. Remember that your answer will not be
, but
.

- Divide like terms and isolate the variable. In this case,
and
are on both sides, so dive them and they will be canceled out.

- divide by
and you will have your value for
.

- Now we plug
into our original equation equation for perfect squares.

Our final answer is 16.
Let the smaller integer be x.
The larger integer is x + 1.
x(x + 1) = 420
x^2 + x = 420
x^2 + x - 420 = 0
The constant is -420.