The problem states that Indah Hotel offers free breakfast to guests aged 6 years and below. Guests older than 6 years old are charged RM15 for breakfast. The ages of Encik Syukri's two children, Sofea and Suhayl, are given in different number bases. We need to determine which of Encik Syukri's children will be charged for breakfast. Sofea's age is $101_2$ years old and Suhayl's age is $20_3$ years old.

1. Problem Description

The problem states that Indah Hotel offers free breakfast to guests aged 6 years and below. Guests older than 6 years old are charged RM15 for breakfast. The ages of Encik Syukri's two children, Sofea and Suhayl, are given in different number bases. We need to determine which of Encik Syukri's children will be charged for breakfast. Sofea's age is $101_2$ years old and Suhayl's age is $20_3$ years old.

2. Solution Steps

First, convert Sofea's age from base 2 to base

1

0. $101_2 = (1 \times 2^2) + (0 \times 2^1) + (1 \times 2^0) = 4 + 0 + 1 = 5$

So, Sofea is 5 years old.

Next, convert Suhayl's age from base 3 to base

1

0. $20_3 = (2 \times 3^1) + (0 \times 3^0) = 6 + 0 = 6$

So, Suhayl is 6 years old.

Since guests aged 6 years and below get free breakfast, and guests older than 6 years are charged, we need to determine who is older than

6. Sofea is 5 years old, so she is not charged.

Suhayl is 6 years old, so he is not charged.

3. Final Answer

Neither of Encik Syukri's children will be charged for breakfast.