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  • 03-02-2016
  • Mathematics
contestada

A mother's age is three less than three times her daughter's age. The sum of their ages is 45. What is the daughter's age?
A) 33
B) 12
C) 42
D) 15

Respuesta :

taskmasters
taskmasters taskmasters
  • 03-02-2016
Given:
mother's age = 3x - 3
daughter's age = x
total of their ages = 45

Mother's age + daughter's age = 45
3x - 3 + x = 45
4x = 45 + 3
4x = 48
4x/4 = 48/4
x = 12 daughter's age.  CHOICE B.

mother's age : 3x - 3 = 3(12) - 3 = 36 - 3 = 33

To check:
mother's age + daughter's age = 45
33 + 12 = 45
45 = 45
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