Question

The sum of 3 consecutive numbers is equal to 57

Answer 1

Answer:

Let the 3 consecutive odd nos be x, x+2, x+4

x+x+2+x+4=57

3x=51

x=17

So the numbers are 17,19 and 21.

Step-by-step explanation:

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Answer 2

Answer-

Let x=integer # 1; then, x + 1= 2nd integer; and x + 2= 3rd integer.

x + (x + 1) + (x + 2) = 57

3x + 3 = 57

3x = 54

x1 = 18.

x2 = x + 1 = 18 + 1 = 19

x3 = x + 2 = 18 + 2 = 20

Check: 18 + 19 + 20 = 57 and, they are consecutive.

Here's what we know:

a + b + c = 57

a = b - 1

c = b + 1

Now that we have values for our variables, let's put them in:

(b - 1) + b + (b + 1) = 57

Simplify:

3b = 57

Divide both sides by 3:

b = 19

a = 19 - 1

a = 18

c = 19 + 1

c = 20

Check:

18 + 19 + 20 = 57

57 = 57