# Daughters

The man conducting the census asks a woman to age of three daughters. Woman says when multiply the age getnumber 72; if their ages add up, get a number of our house, as you see. The man says: That is not enough to calculate their ages. She says: my oldest daughter has a cat with a wooden leg. The man replies: So now I know their age.

How old are her daughter?

x =  3
y =  4
z =  6

### Step-by-step explanation:

$y=4$
$z=6$

The equations have the following integer solutions:
x*y*z = 72
x<y
y<z
s = x+y+z
x>0
y>0
z>0

Number of solutions found: 7
##### s1=13, x1=3, y1=4, z1=6s2=15, x2=2, y2=4, z2=9s3=17, x3=2, y3=3, z3=12s4=18, x4=1, y4=8, z4=9s5=19, x5=1, y5=6, z5=12s6=23, x6=1, y6=4, z6=18s7=28, x7=1, y7=3, z7=24

Calculated by our Diofant problems and integer equations.

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