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Find the sum of all two digits odd positive numbers.

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An important question from ML Agarwal of Class10 for board examination. In this question we have been asked to find the sum of all two digits odd positive numbers.

ML Aggarwal

Arithmetic Progression

Chapter 9 Question 21 i

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1 Answer

  1. All three-digit natural numbers which are divisible by 7 are

    105,112,119,126,...,994 which are in AP with a=105,d=7,l=994
    Let the number of these terms be n. Then,
    an=994
    a+(n1)d=994
    105+(n1)×7=994
    n=128
    Now, Sn=2n(a+l)

    Sn=2128(105+994)=70336.

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