OrangeTriangles: Math pattern problem

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What number should replace the question mark?

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28 Comments to “OrangeTriangles: Math pattern problem”

  1. marioberges | Profile (beta)

    Every triangle has three numbers besides the center one. I will call them x, y, z for (top, left and right) and c for the center one.

    The formula is:

    c = x * z + y * z

    For example, in the first triangle:

    36 = 4 * 3 + 8 *3

    In the last triangle, we need to solve for y, so we have:

    30 = 6 * 3 + y * 3

    y = (30 - 6 * 3) / 3

    y = 4


  2. Obiwan | Profile (beta)

    Question mark is 4.
    o Red circle is sum of left lower and upper numbers in each triangle multiplied by right lower number.
    o 1st triangle: 3×4 + 3×8 = 36
    o 2nd triangle: 4×8 + 4×5 = 52
    o 3rd triangle: 30 - (3×6)/3 =12. Missing number is 12/3 = 4.


  3. Obiwan | Profile (beta)

    Oops–left out brackets!
    [30-(3x6]/3 = 4


  4. goofymushu | Profile (beta)

    i think its 4


  5. Reka | Profile (beta)

    It’s a four!


  6. kitchen | Profile (beta)

    4 (30 = 3*(4+6))


  7. Falwan | Profile (beta)

    pattern :

    (8+4)(3) = 36

    (5+8)(4) = 52

    (6+?)(3) = 30 —-> ?=4


  8. bigbossSNK | Profile (beta)

    I can find two algorithms, with the same outcome:
    1. Multiply the bottom right number with the other two, sum the products and you get the middle number. Solution: 4
    Or
    2. Multiply the smallest number among the corner numbers with the other two, sum the products and you get the middle number. Solution (a little harder): 4.


  9. joe | Profile (beta)

    The question mark should be a 4.

    In each of the former triangles the centre circle is the result of adding the top number and the lower left number and multiplying the sun by the lower right number.
    In the first two:
    (8 + 4) x 3 = 36
    (5 + 8) x 4 = 52
    So in the third triangle
    ( 6 + ? ) x 3 = 30
    ? = 10


  10. joe | Profile (beta)

    Sorry that should be ? = 4 of course


  11. hex | Profile (beta)

    4
    (8+4)x3=36
    (5+8)x4=52
    (6+4)x3=30


  12. Mashplum | Profile (beta)

    4

    (top + left) * right = center


  13. suineg | Profile (beta)

    cool I think one answer could be this:
    first triangle: (8+4)*3= 36
    second triangle: (5+8)*4= 52
    third triangle: (6+4)*3= 30
    so the answer is 4


  14. Sally | Profile (beta)

    4


  15. mimi112 | Profile (beta)

    4


  16. Shawn | Profile (beta)

    4


  17. moyes | Profile (beta)

    Is the answer 4.
    6×3= 18, 3×4= 12, 18+12 =30
    _______________________
    Triangel 1:
    8×3=24, 3×4= 12, 24+12=36
    ____________________
    Triangel 2:
    8×4=32, 4×5= 20, 32+20= 52


  18. Mr DeJerk | Profile (beta)

    4


  19. nattlebattle | Profile (beta)

    4!

    (Top + Bottom Left) * (Bottom Right) = Middle
    (8 + 4) * (3) = 36
    (5 + 8) * (4) = 52
    (6 + 4) * (3) = 30


  20. Jimmy Anders | Profile (beta)

    If the pattern is that the middle number (red) is the sum of the two numbers on the left multiplied by the third number, then the answer is 4.

    [6 + 4] * 3 = 30


  21. Hercules | Profile (beta)

    the answer is 4
    36 divide by 3 is 12…8 and 4 are 12
    52 divided by 4 is 13…5 and 8 are 13
    30 divided by 3 is 10…6 and ‘4′ are 10


  22. Oneiric | Profile (beta)

    I’d say 4.

    Let’s call the top number T, the bottom left number BL, the bottom right number BR and the center number C.

    C = T * BR + BL * BR

    Figure 1: 36 = 8 * 3 + 4 * 3 (24 + 12)
    Figure 2: 52 = 5 * 4 + 8 * 4 (20 + 32)

    Figure 3: 30 = 6 * 3 + BL * 3
    30 = 18 + BL * 3
    Previous minus 18: 12 = BL * 3
    Previous divided by 3: 4 = BL


  23. Shofnite | Profile (beta)

    (8+4) * 3 = 36
    (5+8) * 4 = 52
    (6+x) * 3 = 30

    x = 4


  24. Blusummers13 | Profile (beta)

    The answer is 4.
    8*3+4*3=36
    5*4+8*4=52
    6*3+x*3=30 x=4


  25. ubthecat | Profile (beta)

    4


  26. ohjirochan | Profile (beta)

    4


  27. kxvinu | Profile (beta)

    4


  28. RK | Profile (beta)

    very good- 4 is the answer


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