29 Halla dos números consecutivos tales que, añadiendo al mayor la mitad del menor, el resultado excede en 13 unidades a la suma
de la quinta parte del menor con la onceava parte del mayor.

Los dos números son:

10 y 11

Explanation:

a = primer número (menor)

a+1 = consecutivo   (mayor)

entonces:

a+1 + a/2 = a/5 + (a+1)/11 + 13

a + a/2 - a/5 - (a+1)/11 = 13-1

110a/110 + 55a/110 - 22a/110 - 10(a+1)/110 = 1320/110

110a + 55a - 22a - 10(a+1) = 1320

165a - 22a - 10*a - 10*1 = 1320

143a - 10a - 10 = 1320

133a = 1320 + 10

133a = 1330

a = 1330/133

a = 10

a + 1 = 11

Comprobación:

11 + 10/2 = 10/5 + 11/11 + 13

11 + 5 = 2 + 1 + 13 = 16

ancient india is often called the harappan civilization because one of the ancient cities was called harappa. harappa was just one of 1500 cities in the indus river valley. another well-known city is called mohenjo-daro. historians estimate ancient india to be the biggest of all four early civilizations.