Question

Daca 2 numere naturale au raportul 5/6 si suma lor este egala cu 121 atunci numerele sunt:

Answer 1

Răspuns:

a/b=5/6=>a=5b/6

a+b=121

5b/6+⁶⁾b=⁶⁾121

5b+6b=726

b=726:11=>b=66

a=5·66:6=55

Answer 2

Rapsuns:

a/b = 5/6 => a = 5b/6

a + b= 121 => 5b/6 + b/1 = 121 =>

amplificam cu 6 fractia b/1 =>

5b/6 + 6b/6 = 121 =

11b/6 = 121 =

11b = 121 × 6

11b =726

b= 726÷11

b=66 =>

=> a = 5b/6 => 5×66/6 = 330/6 =>

simplificam cu 6 => 55

a=55

Verificare: 66+55 = 121 ✔️