Question

Suma a 24 de numere întregi consecutive este egala cu -12.Care sunt numerele ?

Answer 1

a+a+1+a+2+a+3+a+4+a+5+a+6+a+7+a+8+a+9+a+10+a+11+a+12+a+13+a+14+a+15+a+16+a+17+a+18+a+19+a+20+a+21+a+22+a+23 = -12
24a + 276 = -12
24a = -12 - 276
24a = -288 | : 24
a= -12
Numerele sunt: -12; -11; -10; -9; -8; -7; -6; -5; -4; -3; -2; -1; 0; 1; 2; 3; 4; 5; 6; 7; 8; 9; 10; 11

Answer 2

Fie numerele x, x+1,x+2...x+23
x+x+1+x+2...x+23 = -12
24x + 23x24/2 = -12
24x + 276 = -12
24x = -288
x = -12
x ∈ {-12,-11,-10, ...8,9,10,11}