Each number in the pyramid is the sum of the two numbers immediately below it . Fill in the pyramid with the missing numbers............ the most detailed answer will be marked as the brainliest
Answers
Step-by-step explanation:
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Answer:
The missing numbers are: 107, 49, 30, 12, 18, 10, 2, 5, 11, -1.
Step-by-step explanation:
Suppose the numbers in blanks are: a (top most row), b (in second row), c (in 3rd row), [d, e, f] (in 4th row- from left to right), [ g, h, i, j] (in 5th row from left to right)
- Forming the equations: As each number in the pyramid is the sum of the two numbers immediately below it, so we can write:
(i) a = b + 58 (ii) 58 = c + 28 (iii) b = c + 19 (iv)19 = 7 + d (v) c = d + e
(vi) 28 = e + f (vii) 7 = g + h (viii) d = h + 7 (ix) e = 7 + i (x) f = i + j
- Solution: From (ii), c = 58 - 28 = 30. From (iii), b = 30 + 19 = 49. From (i) a = 49 + 58 = 107. From (iv), d = 19 - 7 = 12
From (v), e = c - d = 30 - 12 = 18 From (vi), f = 28 - 18 = 10
From (viii), h = d - 7 = 12 - 7 = 5 From (vii), g = 7 - h = 7 - 5 = 2
From (ix), i = e - 7 = 18 - 7 = 11 From (x), j = f - i = 10 - 11 = -1
Attached document will show the position of numbers.
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