Question

Determinati numerele a,b,c stiind ca ab+3a+4c =440 si a/3=b/5=c/9​

Answer 1

Răspuns:

a = 24 ; b = 40 ; c = 72

Explicație pas cu pas:

2b + 3a +4c = 440

a/3 = b/5 = c/9 => a = 3b/5  ; c = 9b/5

⁵⁾2b + 3·3b/5 +4·9b/5 = ⁵⁾440 =>

10b + 9b + 36b = 2200 => 55b = 2200 =>

b = 2200:55 => b = 40

a = 3·40/5 = 3·8 = > a = 24

c = 9·40:5 = 9·8 => c = 72

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2·40 + 3·24 + 4·72 = 80+72+288 = 152+288 = 440 , corect