6,887 views
24 votes
24 votes
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 Keia
by
2.8k points

2 Answers

16 votes
16 votes

Answer:

14

Explanation:

User Mehrandvd
by
2.4k points
18 votes
18 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 ManIkWeet
by
3.0k points