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Arquimedes, Euclides e Ptolomeu têm, juntos, R$ 1 990,00. Arquimedes possui R$ 190,00 a mais do que Euclides e esse, dispõe de R$ 120,00 a mais do que Ptolomeu. Determine quantos reais cada um deles possui.

Sagot :

fichoh

Responder:

Ptolomeu = 520

Euclides = 640

Arquimedes = 830

Explicação passo a passo:

Deixar :

Quantidade que Ptolomeu tem = x

Quantidade de Euclides = x + 120

Quantidade que Arquimedes tem = x + 120 + 190

Valor total que todos eles têm = $ 1990

Portanto,

x + x + 120 + x + 120 + 190 = 1990

3x + 430 = 1990

3x = 1990 - 430

3x = 1560

x = 520

Ptolomeu = 520

Euclides = 520 + 120 = 640

Arquimedes = 640 + 190 = 830

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