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vichka [17]
2 years ago
9

Chloe is trying to find three consecutive, positive integers such that six times the largest is equal to the twice sum of the tw

o smaller integers. Show that the three consecutive, positive integers 4, 5, and 6 are not the ones Chloe is looking for.
Mathematics
1 answer:
andrezito [222]2 years ago
6 0

Answer:

The three consecutive numbers cannot be 4, 5, and 6 because, the result will be 36 ≠ 18, which is indeterminate

Step-by-step explanation:

The given parameters are;

The three consecutive positive numbers Chloe is trying to find are x, x+1, x + 2

The conditions of the three positive numbers are;

6 × (x + 2) = 2 × (x + x + 1)

We check if the three consecutive numbers can be 4, 5, and 6 by substituting the values as follows;

x + 2 = 6

x + 1 = 5

x = 4

Which gives;

6 × (6) ≠ 2 × (4 + 5)

36 ≠ 18

Therefore, the three consecutive numbers cannot be 4, 5, and 6

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