Find all pairs of consecutive odd natural numbers both of which are larger than 10 and their sum is less than

Exercise 2.3 · Q7

Q. Find all pairs of consecutive odd natural numbers both of which are larger than 10 and their sum is less than 40.

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Step 1. Let the smaller of the two consecutive odd numbers be $x$ ; the pair is $x,\ x+2$ .

Step 2. 'Both larger than 10' with $x$ the smaller odd number larger than 10 means $x\ge11$ .

Step 3. 'Sum less than 40': $x+(x+2)<40\Rightarrow2x+2<40\Rightarrow x<19$ . …

Q.Find all pairs of consecutive odd natural numbers both of which are larger than 10 and their sum is less than 40.