Question

The ages of three siblings are all consecutive integers. The sum of their ages is 60. How old is the youngest sibling?

A) 18 years
B) 19 years
C) 20 years
D) 21 years

Answer 1

By expressing the ages of the siblings as consecutive integers and summing them up to 60, the equation '3x + 3 = 60' is obtained. Solving for x gives us the youngest sibling's age, which is 19 years old.

Step-by-step explanation:

To find the age of the youngest sibling, we need to express their ages as consecutive integers and then use the fact that their sum is 60. Let the youngest sibling's age be x, the middle sibling's age be x+1, and the oldest sibling's age be x+2. Since the sum of their ages is 60, we can write the equation:

x + (x + 1) + (x + 2) = 60.

Simplifying, we get:

3x + 3 = 60.

Subtracting 3 from both sides of the equation gives us:

3x = 57,

and dividing both sides by 3, we find:

x = 19.

Therefore, the youngest sibling is 19 years old, which corresponds to option B.