Question

11) The sum of four consecutive integers is 290.

a. Write an equation to represent this situation.
(Make sure to combine like terms.)
ion
b. Solve. What are the 4 integers?
the

Answer 1

Hfhbsbehehbebehbehne

Answer 2

71, 72, 73, 74 . for details, check below

Explanation:

a) Let's assume that among the four consecutive numbers, the first one is x,

so, the four consecutive numbers should be:

1. x
2. x+1
3. x+2
4. x+3.

According to the question,

(x) + (x + 1) + (x + 2) + (x + 3) = 290

b)

(x) + (x + 1) + (x + 2) + (x + 3) = 290

4x + 6 = 290

4x = 284

x = 284÷ 4

x = 71.

So, the numbers are,

71, 72, 73, 74