Question

Two-thirds of a number increased by five is the same as negative two-sixths of a number increased by fourteen.

Answer 1

9

Explanation:

Assuming both numbers are the same, we can use n to represent it.

2/3n +5 = -2/6n +14

Adding 1/3n-5 gives ...

n = 9

The number is 9.

_____

Check

2/3n = 2/3·9 = 6

-2/6n = -2/6·9 = -3

6 +5 = -3 +14 . . . . . . true