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Patterns #13

Open Ams627 opened 1 year ago

Ams627 commented 10 months ago

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Each row of the table (5 rows x 5 columns) contains the same five consecutive numbers listed in order from smallest to largest. The first table contains the five numbers 2, 3, 4, 5 and 6.

  1. In the first table, add up all the numbers that belong to the white fields of the table
  2. For the second table, find five such numbers that the sum of all numbers in the dark fields is 780.

In the record sheet, indicate the solution procedure in both parts of the problem!

Solution:

  1. (3 + 5) · 3 + (2 + 4 + 6) · 2 = 48
  2. 3 · (x + x + 2 + x + 4) + 2 · (x + 1 + x + 3) = 780. So 9x + 18 + 4x + 8 = 780. So 13x + 26 = 780. 13x = 754.