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luis is six years younger than santiago.Michael is three times as old as santiago.The sum of their ages is 59.How old is Michael?

Respuesta :

Answer: Michael is 39 years old.

Step-by-step explanation:

Let l stand for Luis, s stand for Santiago, and m stand for Michael.

l = s - 6

m = 3s

s + (s-6) + 3s = 59

s + s - 6 + 3s = 59

5s - 6 = 59

     +6     +6

5s = 65

/5     /5

s = 13

Now plug s into the equation that represents Michael:

m = 3s

m = 3(13)

m = 39

Michael is 39 years old.

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