Question

Media aritmetica a 10 numere naturale consecutive este 17,5. Determinati cel mai mare număr?
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Answer 1

Răspuns:

Explicație pas cu pas:

(a + a + 1 + a + 2 + a + 3 + a + 4 + a + 5 + a + 6 + a + 7 + a + 8 + a + 9) : 10 = 17,5

10a + 45 = 17,5 x10 = 175

10a = 175 - 45 = 130

a = 130 : 10 = 13

Cel mai mare numar este a + 9 = 13 + 9 = 22

Answer 2

( A + A + 1 + A + 2 + A + 3 + A + 4 + A + 5 + A + 6 + A + 7 + A + 8 + A + 9 ) : 10 = 17, 5

10 × A + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 = 17, 5 × 10

10 × A + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 = 175

10 × A + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 = 175 - 9

10 × A + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 = 166

10 × A + 1 + 2 + 3 + 4 + 5 + 6 + 7 = 166 - 8

10 × A + 1 + 2 + 3 + 4 + 5 + 6 + 7 = 158

10 × A + 1 + 2 + 3 + 4 + 5 + 6 = 158 - 7

10 × A + 1 + 2 + 3 + 4 + 5 + 6 = 151

10 × A + 1 + 2 + 3 + 4 + 5 = 151 - 6

10 × A + 1 + 2 + 3 + 4 + 5 = 145

10 × A + 1 + 2 + 3 + 4 = 145 - 5

10 × A + 1 + 2 + 3 + 4 = 140

10 × A + 1 + 2 + 3 = 140 - 4

10 × A + 1 + 2 + 3 = 136

10 × A + 1 + 2 = 136 - 3

10 × A + 1 + 2 = 133

10 × A + 1 = 133 - 2

10 × A + 1 = 131

10 × A = 131 - 1

10 × A = 130

A = 130 : 10

A = 13

A + 9 = 13 + 9 = 22 => cel mai mare dintre cele 10 numere