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Mo's age is 4 times his daughter's age today. In 7 years, Mo's age will be only triple his daughter's age. How many years from today will Mo's age be only double his daughter's age?

User Reflective
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2 Answers

3 votes

Answer:

14

Explanation:

User CdkMoose
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3.6k points
3 votes

Answer:

14 years

Explanation:

Let X be the age of Mo's daughter today.

Mo's age today is 4X.

In 7 years, Mo's age will be 4X+7 and his daughter's age will be X+7.

Thus, Mo's age will be triple his daughter's age in 7 years if 3(X+7)=4X+7.

Solving this equation for X, we find that X=7.

Therefore, Mo's daughter is 7 years old today.

Mo's age today is 4*7=28 years.

In 7 years, Mo's age will be 28+7=35 years and his daughter's age will be 7+7=14 years.

Thus, Mo's age will be double his daughter's age in 14 years from today.

The answer is therefore 14 years.

User Arun Gunalan
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4.1k points