# The numbers on three raffle tickets are consecutive integers whose sum is 7530. What are the integers?

May 6, 2016

$2509 \text{; "2510"; } 2511$

#### Explanation:

Let the first number be $n$
Then the next two numbers are:$\text{ "n+1" ; } n + 2$

So $n + n + 1 + n + 2 = 7530$

$3 n + 3 = 7530$

Subtract 3 from both sides

$3 n + 3 - 3 = 7530 - 3$

But $+ 3 - 3 = 0$

$3 n = 7527$

Divide both sides by 3

$\frac{3}{3} \times n = \frac{7527}{3}$

But $\frac{3}{3} = 1$

$n = 2509$

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check $3 \left(2509\right) + 3 + = 7530$