Find number of years for each animal from this system of equations

Questions
,
1

Dear all
I have the notebook calculation and i want to find how many years each animal lives: deer,bear,fox

Solve[nrAniVeverita == nrAniIepure - 3 &&
  nrAniVulpea == 2*nrAnIepure &&
  nrAniCerbul == 10 + nrAniVulpea &&
  nrAniUrsul == nrAniCerbul + nrAniVulpea &&
  nrAniCerbul + nrAniUrsul + nrAniVeverita + nrAniVulpea >= 110 && 
  nrAniCerbul + nrAniUrsul + nrAniVeverita + nrAniVulpea <= 120,
 {nrAniCerbul, nrAniUrsul, nrAniVeverita, nrAniVulpea}
 ]

The solver returns {}
Can you please help ?

Multimi.nb (653 KB)

2

Spelling mistake nrAnIepure instead of nrAniIepure

Solve[nrAniVeverita == nrAniIepure - 3 && 
      nrAniVulpea == 2*nrAniIepure && nrAniCerbul == 10 + nrAniVulpea && 
      nrAniUrsul == nrAniCerbul + nrAniVulpea && 
      nrAniCerbul + nrAniUrsul + nrAniVeverita + nrAniVulpea >= 110 && 
      nrAniCerbul + nrAniUrsul + nrAniVeverita + nrAniVulpea <= 
       120, {nrAniCerbul, nrAniUrsul, nrAniVeverita, nrAniVulpea, 
      nrAniIepure}, Integers]

{{nrAniCerbul → 32, nrAniUrsul → 54, nrAniVeverita → 8,
nrAniVulpea → 22, nrAniIepure → 11}}

3

Solve[nrAniVeverita == nrAniIepure - 3 &&
nrAniVulpea == 2*nrAniIepure &&
nrAniCerbul == 10 + nrAniVulpea &&
nrAniUrsul == nrAniCerbul + nrAniVulpea &&
nrAniCerbul + nrAniUrsul + nrAniVeverita + nrAniVulpea +
nrAniIepure >= 110 &&
nrAniCerbul + nrAniUrsul + nrAniVeverita + nrAniVulpea +
nrAniIepure <= 120,
{nrAniVeverita, nrAniIepure, nrAniVulpea, nrAniCerbul,
nrAniUrsul}, Integers
]
{{nrAniVeverita -> 7, nrAniIepure -> 10, nrAniVulpea -> 20, nrAniCerbul -> 30, nrAniUrsul -> 50}}

I solved it, you were right.