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Question

# In Danny's class, the number of boys is 17 more than the number of girls. Which of the following can not be the number of boys in the class?

A
18
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B
17
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C
16
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Solution

## The correct option is C 16Let the number of girls in the class be x Accordingly, the number of boys in the class is x+17 Option A: If the number of boys in the class is 18 ⇒x+17=18 ⇒x+17−17=18−17 ⇒x=1→ only one girl in the class. So, number of boys can be 18 in the class. Option B: If the number of boys in the class is 17 ⇒x+17=17 ⇒x+17−17=17−17 ⇒x=0→ No girl in the class. So, number of boys can be 17 in the class. Option C: If the number of boys in the class is 16 ⇒x+17=16 ⇒x+17−17=16−17 ⇒x=−1→ the number of girl can't be −1. ​​​​​​​So, number of boys can not be 16 in the class.

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