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Question

The sum of all two digit odd numbers is:

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Solution

Smallest two digit odd number = 11
Largest two digit odd number = 99
Difference between consecutive odd numbers = 2

The sequence is 11,13,....,99

The number of terms in the given AP is
an=a+(n1)d
99=11+(n1)2
(n1)2=88
n1=44
n=45

Sum of two digit odd numbers is,
Sn=n2[2a+(n1)d]
452[2(11)+(451)2]
452[22+88]
45[55]=2475

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