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CBSE Class 11-science Answered

Find all pairs of consecutive odd positive integers, both of which are greater than 15, such that their sum is less than 50.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
answered-by-expert Expert Answer
Let the pair of consecutive odd positive integers be x, x + 2 such that both are greater than 15 and their sum is less than 50
    x > 15 and  x + (x + 2) < 50
    x > 15 and  2x + 2 < 50
    x > 15 and  2x < 48
    x > 15 and  x < 24
    15 < x < 24 and x is odd
    x = 17, 19, 21, 23 and therefore, x + 2 = 19, 21, 23, 25
    Possible pairs are (17, 19), (19, 21), (21, 23), (23, 25)
Answered by | 04 Jun, 2014, 03:23: PM

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