Question

4. Determinati numerele a, b, c, d, dacă: 33 < S = a + b+c+d < 42 si a : 2 = 2b = c - 3 = d + 5​

Answer 1

a : 2 = 2b = c - 3 = d + 5​

a:2=2b => a=4b

c-3=2b => c=2b+3

d+5=2b => d=2b-5

33<a+b+c+d<42

33<4b+b+2b+3+2b-5<42

33<9b-2<42

35<9b<44

9b=36 => b=4 => a=16

c=8+3=11 => d=8-5=3