Respuesta:
1) 13, 2) 12, 3) 4, 4) 5
Explicación paso a paso:
1) Por criterio de divisibilidad del 9:
1 + 3 + a + 5 + 7(3) = 9°
30 + a = 9°
9° + 3 + a = 9°
3 + a = 9°
a = 9° - 3
a = 9° + 6
∴ a = 6
6 + 7 = 13
2) Por criterio de divisibilidad del 7:
3 + 3a + 4 - a - 3 - 2a + a + 3 = 7°
7 + a = 7°
a = 7° ∴ a = 7
7 + 5 = 12
3) Por criterios de divisibilidad de 3 y 9:
3.1]
2(1 + 2 + 3 + 4 + 5 + 6 + 7) = 3°
2[7(8)/2] = 3°
56 = 3°
3° + 2 = 3°
Residuo: 2
3.2]
2(1 + 2 + 3 + 4 + 5 + 6 + 7) = 9°
56° = 9°
9° + 2 = 9°
2 + 2 = 4
4) Por criterios de divisibilidad del 7 y 11:
4.1]
1 + 6 + 6 - 4 - 15 - 12 + 7 + 21 + 12 - 5 - 12 - 6 + 2 + 3 = 7°
4 = 7°
7° + 4 = 7°
Residuo: 4
4.2]
2 - 2 + 3 - 4 + 5 - 6 + 7 - 7 + 6 - 5 + 4 - 3 + 2 - 1 = 11°
1 = 11°
11° + 1 = 11°
Residuo: 1
1 + 4 = 5
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Respuesta:
1) 13, 2) 12, 3) 4, 4) 5
Explicación paso a paso:
1) Por criterio de divisibilidad del 9:
1 + 3 + a + 5 + 7(3) = 9°
30 + a = 9°
9° + 3 + a = 9°
3 + a = 9°
a = 9° - 3
a = 9° + 6
∴ a = 6
6 + 7 = 13
2) Por criterio de divisibilidad del 7:
3 + 3a + 4 - a - 3 - 2a + a + 3 = 7°
7 + a = 7°
a = 7° ∴ a = 7
7 + 5 = 12
3) Por criterios de divisibilidad de 3 y 9:
3.1]
2(1 + 2 + 3 + 4 + 5 + 6 + 7) = 3°
2[7(8)/2] = 3°
56 = 3°
3° + 2 = 3°
Residuo: 2
3.2]
2(1 + 2 + 3 + 4 + 5 + 6 + 7) = 9°
56° = 9°
9° + 2 = 9°
Residuo: 2
2 + 2 = 4
4) Por criterios de divisibilidad del 7 y 11:
4.1]
1 + 6 + 6 - 4 - 15 - 12 + 7 + 21 + 12 - 5 - 12 - 6 + 2 + 3 = 7°
4 = 7°
7° + 4 = 7°
Residuo: 4
4.2]
2 - 2 + 3 - 4 + 5 - 6 + 7 - 7 + 6 - 5 + 4 - 3 + 2 - 1 = 11°
1 = 11°
11° + 1 = 11°
Residuo: 1
1 + 4 = 5
Respuesta:
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Explicación paso a paso: