Question

Krutika is 11 years older than Gordon. Pip is 12 years younger than Gordon. If the total of their ages is 77, how old is the youngest of them?​

Answer 1

We can solve this problem by setting up an equation and solving for Gordon's age. By substituting this value into the equations for Krutika and Pip, we can find their ages and determine the youngest among them. The youngest of them is Pip, who is 14 years old.

Step-by-step explanation:

We are given that Krutika is 11 years older than Gordon

and that Pip is 12 years younger than Gordon.

We can represent their ages as follows:

• Krutika's age = Gordon's age + 11
• Pip's age = Gordon's age - 12

Since the total of their ages is 77, we can set up an equation:

• Gordon's age + 11 + Gordon's age + Gordon's age - 12 = 77

Combining like terms, we get:

• 3 * Gordon's age - 1 = 77

Adding 1 to both sides, we have:

• 3 * Gordon's age = 78

Dividing both sides by 3, we find:

• Gordon's age = 26

Substituting this value into the equations for Krutika and Pip, we can find their ages:

• Krutika's age = 26 + 11 = 37
• Pip's age = 26 - 12 = 14

Therefore, the youngest of them is Pip, who is 14 years old.