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Mario is 12 years older than Luigi. Six years from now, the sum of their ages will be 32. Find Mario's present age.

Respuesta :

Greetings from Brasil...

Let M be the age of Mario and L the age of Luigi. According to the statement we can elaborate the following equations:

M = L + 12

(M + 6) + (L + 6) = 32

As M = L + 12, we will substitute in the second equation

(M + 6) + (L + 6) = 32

((L + 12) + 6) + (L + 6) = 32

2L + 24 = 32

2L = 32 - 24

2L = 8

L = 8/2

L = 4

for M:

M = L + 12

M = 4 + 12

M = 16