Question

Ron is half as old as Sam, who is three times as old as Ted. The sum of their ages is 55. How old is Ron? Explain

a. 5
b. 8
c. 10
d. 12
e. 15

Answer 1

Ron is 15 years old.

Explanation:

1. Let's assume Ted's age is "x." According to the question, Sam is three times as old as Ted, so Sam's age would be 3x.

2. Ron is half as old as Sam, so Ron's age would be (1/2) * (3x) = (3/2)x.

Now, we can use the information that the sum of their ages is 55 to solve for x:

x + 3x + (3/2)x = 55

Multiplying each term by 2 to eliminate the fraction:

2x + 6x + 3x = 110

11x = 110

Dividing both sides by 11:

x = 10

So, Ted's age is 10. Now, we can find Ron's age by substituting x into the equation we found earlier:

Ron's age = (3/2) * 10 = 15.