21.5k views
5 votes
Maggie's brother is 14 years younger than four × her age. The sum of their ages is 61. How old is Maggie?

A. 18
B. 22
C. 26
D. 30

User Duke
by
8.3k points

1 Answer

5 votes

Final answer:

Maggie's brother is 14 years younger than four times her age. The sum of their ages is 61. Maggie is 15 years old.

Step-by-step explanation:

Let's represent Maggie's age as x. According to the given information, her brother's age is 4x - 14.

The sum of their ages is 61, so we can write the equation: x + (4x - 14) = 61.

Simplifying the equation, we have 5x - 14 = 61.

Adding 14 to both sides gives us 5x = 75.

Dividing both sides by 5, we find that x = 15.

Therefore, Maggie is 15 years old. Option D is the correct answer.

User Trogne
by
7.7k points