Six times a number decreased by 8 is less than five times the number plus 21

6 ( or any number that isn't a common multiple of 5 and 6 ) you should probably double-check just in case.

Step-by-step explanation:

Question = 6x - 8 < 5x +21

so we know that the product of 6x must be divisible by 6 and 5x must be devisable by 5.  so the first factor of 6 is 6 so:

(6 x 6) - 8 < (5 x 6) + 21

36 - 8 < 30 + 21

28 < 51

so x = 6

Honestly, any number would work because 6x is obviously more than 5x, but since for 6x you subtracting 8 and for 5x you adding 21 the answer will always be 6x - 8 < 5x + 21. Unless you use a common multiple of 6 and 5 as your x because then six times that number will always be more than 5 times that number. So for example 30 is a common multiple of 6 and 5 so:

(6 x 30) - 8 is more than (5 x 30) + 21

180 - 8 is more than 150 + 21

172 is more than 171

hope that helps  : )

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step-by-step explanation:

you can add the two numbers and divide the result by 2. or you can find the gap between the two numbers and add half of this to the smaller number.