SOLUTION: What is the consecutive number of which 4 over 7 of the sum of first and second equals the third numbers decrease by 1?

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: What is the consecutive number of which 4 over 7 of the sum of first and second equals the third numbers decrease by 1?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 228547: What is the consecutive number of which 4 over 7 of the sum of first and second equals the third numbers decrease by 1?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
What is the consecutive number of which 4 over 7 of the sum of first and second
equals the third numbers decrease by 1?
:
Three consecutive numbers: x, (x+1), (x+2)
:
4%2F7(x + (x+1)) = (x+2) - 1
4%2F7(2x+1) = (x + 1)
Multiply both sides by 7
4(2x + 1) = 7(x + 1)
:
8x + 4 = 7x + 7
8x - 7x = 7 - 4
x = 3
;
Numbers are: 3, 4, 5
;
:
See if that works in the statement:
"4/7 of the sum of first and second equals the third numbers decrease by 1"
4%2F7(3+4) = (5) - 1
4%2F7(7) = 4
4 = 4