The smaller number that we can take is x = 14, and in that case, the value of the other number is y = 34
First, we have two numbers, x and y, such that:
y = 6 + 2*x
"the first number is 6 more than 2 times another number".
Now we know that the sum of these two numbers is smaller than 50, then we can write:
x + y < 50
Replacing y by the above equation we get:
x + 6 + 2x < 50
3x + 6 < 50
Now we can solve that inequality for x:
3x < 50 - 6 = 44
x < 44/3 = 14.6
And x can only be a whole number, then:
x ≤ 14
The smaller number that we can take is x = 14, and in that case, the value of the other number is:
y = 6 + 2*14 = 34
If you want to learn more about inequalities:
https://brainly.com/question/25275758
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