the sum of three consecutive integers is 564. find the numbers

Question

im stuck i really need help with this word problem 

Answer 1

Belinda, here's a simple trick to help you with a problem like this.

If the sum of 3 consecutive integers is 564, then the middle integer is the mean of the 3 integers.

564/3=188

if 188 is the middle integer then 188+1=189 is the greatest and 188-1=187 is the smallest.

187, 188, 189 are the integers

If you need algebraic work then do the following:

x+(x+1)+(x+2)=564

3x+3=564

3=564-3

3x=561

x=561/3

x=187, x+1=188, and x+2=189

 

your other problem...

three consecutive even integers add up to 612

x+(x+2)+(x+4)=612

3x+6=612

3x=606

x=202, x+2=204, and x+4=206

using simple arithmetic...

612/3=204, the middle integer, 204+2=206 and 204-2=202

202, 204, and 206 again