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Giselle's father is 3 times as old as her. After 10 years, his age will be 5 more than twice her age. Which equation can be used to find Giselle's age?

a. 3x + 10 = 2(x + 10) + 5
b. 32 = 2x + 15
c. 3 + 15 = 2x
d. 3x + 10 = 2x + 15

1 Answer

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Final answer:

To find Giselle's age, we use the equation 3x + 10 = 2(x + 10) + 5, representing her father's age being three times hers now and five more than twice her age after 10 years.

Step-by-step explanation:

The question asks which equation can be used to find Giselle's age under the condition that her father's age is three times her age now, and after 10 years, his age will be 5 more than twice her age. We need to set up an equation considering Giselle's current age as 'x'. According to the first condition, her father is 3 times as old as her right now, so his age is 3x. In 10 years, Giselle's age will be x + 10, and her father's will be 3x + 10. The second condition states that after 10 years, her father's age will be 5 more than twice Giselle's age at that time, creating the equation 3x + 10 = 2(x + 10) + 5. Substituting Giselle's age as 'x' and simplifying, this is the equation we can use to find Giselle's current age.

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