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R5exS5Elearapb R5exS5Elearapb
  • 03-02-2016
  • Mathematics
Answered

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?

A33
B12
C42
D15

Verified Answer :

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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