89.0k views
1 vote
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
by
6.0k points

2 Answers

3 votes

Answer:

14

Explanation:

User CdkMoose
by
6.5k 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
by
6.9k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.