Question

[Lê Tuấn Phong]

a) x + (x + 1) + (x + 2) + (x+3)+...+(x + 30) = 1240

b) x + 1 + 2 + 3 + ... + x = 210

Answer 1

[Feliks Zemdegs]

a) 
x+(x+1)+(x+2)+....+(x+30)=1240 
31 . x + (1 + 2 + 3 + 4 +...+ 29 + 30) = 1240 
31 . x + 31.15 = 1240 
31 . x = 1240 - 31.15 
31 . x = 775 
x = 775 : 31 
x = 25 

b)1 + 2 + 3 +...+ x = 210 
(x + 1) . x : 2=210 
x . (x + 1) = 420 
x . x + x = 420 
x . x = 420 - x 
Ta thấy: 
20 . 20 = 420 - 20 
Vậy x = 20