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8 October, 13:44

Write two triangular numbers which add up to 49.

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Answers (2)
  1. 8 October, 15:05
    0
    21+28=49

    Step-by-step explanation:

    Not much explanation.
  2. 8 October, 16:07
    0
    The triangular numbers are the sums of the natural numbers.

    T₁ = 1

    T₂ = 1 + 2 = 3

    T₃ = 1 + 2 + 3 = 6

    T₄ = T₃ + 4 = 10

    T₅ = T₄ + 5 = 15

    T₆ = T₅ + 6 = 21

    T₇ = 28

    T₈ = 36

    T₉ = 45

    T₁₀ = 55

    Let's subtract each from 49 and see if the result is on the list:

    49-1=48, nope

    49-3=46, 49-6=43, then 39, 34, 49-21=28, winner

    The rest won't give any new possibilities.

    Answer: 21 and 28
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