SOLUTION: find four consecutive numbers such that the sum of the first three numbers is twelve more than the fourth number

Question 506974: find four consecutive numbers such that the sum of the first three numbers is twelve more than the fourth number
Answer by Maths68(1474) (Show Source): You can put this solution on YOUR website!
Let
1st Integer = x
2nd Integer = x+1
3rd Integer = x+2
4th integer = x+3
=======================================
Given
x+x+1+x+2=(x+3)+12
3x+3=x+3+12
3x+3=x+15
3x=x+15-3
3x=x+12
3x-x=12
2x=12
x=12/2
x=6
========================================
1st Integer = x = 6
2nd Integer = x+1 = 6+1 = 7
3rd Integer = x+2 =6+2= 8
4th integer = x+3=6+3=9
=====================================
Check
x+(x+1)+(x+2)=(x+3)+12
6+7+8=9+12
21=21

RELATED QUESTIONS
find four consecutive whole numbers such that the sum of the first three numbers equal... (answered by ankor@dixie-net.com)

Find four consecutive whole numbes such that the sum of the first three numbers equal the (answered by jim_thompson5910)

Find four consecutive whole numbers such that the sum of the first three equals the... (answered by richard1234)

How do I find consecutive numbers first? Q: Find four consecutive whole numbers such... (answered by stanbon)

find four consecutive even interges such that the sum of the first three is two more than (answered by mananth)

find four consecutive integers such that the sum of the first three is 54 more than the... (answered by mananth,josmiceli,Maths68)

Find four consecutive integers such that the sum of the first three is 54 more than the... (answered by chipchocolate,Timnewman,MathTherapy)

find four consecutive even numbers such that three-fourths of the sum of the second and... (answered by mananth)

Find four consecutive even numbers such that three-fourths of the sum of the second and... (answered by macston)