Three consecutive odd integers are in increasing order such that the sum of the last two integers is 13 more than the first integer. Find the three integers?

Three consecutive odd integers are in increasing order such that the sum of the last two integers is 13 more than the first integer. Find the three integers?

Ques:- Three consecutive odd integers are in increasing order such that the sum of the last two integers is 13 more than the first integer. Find the three integers?
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3 Answers on this Question

  1. Since the numbers are consecutive, LEt them be x,y and z
    So,
    x-y = -1
    y-z = -1
    x-y-z = -13
    On solving these, we get x = 10 , y = 11 , z = 12

  2. let the 3 consecutive odd numbers are;2x+1,2x+3,2x+5
    given condition is sumof last to odd numbers is 13 more.
    so 2x+1+2x+3=2x+5+13
    2x=14
    x=7
    so the numbers are:-15,17,19

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