ayrapetyanelen ayrapetyanelen
  • 22-08-2017
  • Mathematics
contestada

Maggie's brother is 5 years younger than three times her age. The sum of their ages is 51.

How old is Maggie?

Respuesta :

LearnGrow
LearnGrow LearnGrow
  • 29-08-2017
Let us denote Maggie's years with M and her brother's years with Y.
We know that Maggie's brother is 5 years younger than three times her age.So, we can write:
Y=3*M-5 (1)
We also know that
the sum of their ages is 51, so we can write:
Y+M=51 (2)
We can put the first equation (1) in the second (2) and we will obtain:
3M-5+M=51
4M-5=51
4M=51+5
4M=56
M=56/4
M=14
Maggie is 14 years old.
And her brother is : Y=51-14=34 years old.

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