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Chloe is 15 3 x 15 = 45 - 9 = 36 (moms current age) 15 +5 = 20 (Chloe's age in 5 years) 36 + 5 = 41 (mom's age in five years)

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Q: Lucy is nine years less than three times the age of her daughter Chloe. In five years she will be twice her daughter's age. How old is Chloe?
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Let the mother's age be "W"Let the daughter's age be "V"Now represent your question as an algebraic expressionW = 3V - 3W + V = 45Now put the first expression into the second.3V - 3 + V = 454V = 48V=12Since V=12 the daughters age is 12 years oldNow put "V" back into one of the equations.W = 3(12) - 3W = 33The mother is 33 years oldThe daughter is 12 years oldLets check it buy putting both numbers into both equations33 = 3(12) -333 = 36 - 333=33 Correct!33 + 12 = 4545=45 Correct!Therefore these ages are correct.

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