3:  Altklug - wo ist der Vater?

3:  Precocious - where's the father?

Lösungen Level 3:

a) Es gelten:

(1) V + M + S = 70

(2) V = 6 * S

(3) V + x = 2 (S + x)

Aus (2) und (3) folgen:

6S + x = 2S + 2x

x = 4S

(4) V+x + M+x + S+x = 2 (V + M + S)

somit: 6S + 4S + M+4S + S+4S = 2 * 70

M + 19S = 140

M = 140 - 19S

Aus (1) folgt auch: M = 70 - 7S

somit gilt: 140 - 19S = 70 - 7S

12S = 70

S = 5 10/12 = 5 Jahre 10 Monate

V = 6 * S = 35 Jahre

M = 70 - 35 - 5 10/12 = 29 2/12 = 29 Jahre 2 Monate.

b) M = K + 21

M + 6 = 5 (K + 6)

somit: K + 21+ 6  = 5 K + 30

27 – 30 = 5K - K

-3 = 4K

K = -3/4 = -9 Monate ... und das Ergebnis „zeugt“ davon, wo der Vater sich damals aufhielt!

Solution Level 3:

a) It applies:

(1) V + M + S = 70

(2) V = 6 * S

(3) V + x = 2 (S + x)

Follow from (2) and (3):

6S + x = 2S + 2x

x = 4S

(4) V+x + M+x + S+x = 2 (V + M + S)

therefore: 6S + 4S + M+4S + S+4S = 2 * 70

M + 19S = 140

M = 140 - 19S

From (1) also follows: M = 70 - 7S

so the following applies: 140 - 19S = 70 - 7S

12S = 70

S = 5 10/12 = 5 Jahre 10 months

V = 6 * S = 35 years

M = 70 - 35 - 5 10/12 = 29 2/12 = 29 years 2 months.

b) M = K + 21

M + 6 = 5 (K + 6)

therefore: K + 21+ 6  = 5 K + 30

27 – 30 = 5K - K

-3 = 4K

K = -3/4 = -9 months... and the result "testifies" to where the father was then!