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Jumla ya namba witiri zinazofuata na ni 69. Tafuta namba witiri kubwa

Mathematics

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Answer

25\text{25}

Step-by-step solution

4 steps

Ili kutatua swali hili, tutachukulia kuna namba witiri tatu zinazofuatana ambazo jumla yake ni 69, kwani hii ndiyo njia pekee inayotoa namba kamili.

  1. Fafanua namba witiri zinazofuatana.

    Tutaweka namba witiri ya kwanza kuwa xx.
    Kwa hivyo, namba witiri inayofuata itakuwa x+2x+2.
    Na namba witiri ya tatu itakuwa x+4x+4.

  2. Tengeneza mlinganyo kwa kutumia jumla yao.

    Jumla ya namba hizi tatu ni 69:

    x+(x+2)+(x+4)=69x + (x+2) + (x+4) = 69
  3. Tatua mlinganyo ili kupata thamani ya xx.

    Unganisha vigezo na namba:

    3x+6=693x + 6 = 69

    Toa 6 kutoka pande zote mbili:

    3x=69−63x = 69 - 6 3x=633x = 63

    Gawanya kwa 3 pande zote mbili:

    x=633x = \frac{63}{3} x=21x = 21
  4. Tafuta namba witiri kubwa zaidi.

    Namba witiri zetu ni xx, x+2x+2, na x+4x+4.
    Tukitumia x=21x=21:
    Namba ya kwanza: 21
    Namba ya pili: 21+2=2321+2 = 23
    Namba ya tatu: 21+4=2521+4 = 25

    Namba witiri kubwa zaidi kati ya hizi ni 25.

    Jibu la mwisho ni:
    Namba witiri kubwa ni 25\text{25}

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