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Find the two consecutive odd numbers whose sum is 200

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Let the two consecutive odd numbers be x and x + 2 

∴ Their sum = 200 

x + (x + 2) = 200 

x + x + 2 = 200 

2x + 2 = 200 

2x + 2 – 2 = 200 – 2 [∵ Subtracting 2 from both sides] 

2x = 198

\(\frac{2x}{2}=\frac{198}{2}\) [Dividing both sides by 2] 

x = 99 

The numbers will be 99 and 99 + 2. 

∴ The numbers will be 99 and 101.

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