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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?
Wiki User
∙ 13y ago
Let the mother's age be "W"
Let the daughter's age be "V"
Now represent your question as an algebraic expression
W = 3V - 3
W + V = 45
Now put the first expression into the second.
3V - 3 + V = 45
4V = 48
V=12
Since V=12 the daughters age is 12 years old
Now put "V" back into one of the equations.
W = 3(12) - 3
W = 33
The mother is 33 years old
The daughter is 12 years old
Lets check it buy putting both numbers into both equations
33 = 3(12) -3
33 = 36 - 3
33=33 Correct!
33 + 12 = 45
45=45 Correct!
Therefore these ages are correct.
Wiki User
∙ 13y ago
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