The smallest number is 90.63
We have three different two digit numbers total is 286.
We have to determine the smallest of the three numbers.
The two digit numbers can be in only in range of 1 to 99.
While a three digit number can be in range from 100 to 1000.
Hence, the two-digit number is smallest.
According to the question -
Let's assume that the three numbers are - x, y and z.
Now -
x + y + z = 286
If we assume three equal two digit numbers will together make 286, than each two digit number will be = [tex]\frac{286}{3}[/tex] = 95.33.
In this case - x = 95.33 y = 95.33 z = 95.33
Now, subtract 95.33 from 100 = 100 - 95.33 = 4.7
Assume, that we take 4.7 out from x, then x will be equal to -
x = 95.33 - 4.70 = 90.63
And divide 4.7 equally to both y and z -
y = z = 97.6
However, you can divide the 4.7 in any ratio among the numbers y and z for getting different numbers. Since we are focused on finding the smallest number of three we will not do it here.
Hence, the smallest number is x = 90.63
To solve more questions on finding the minimum number, visit the link below-
https://brainly.com/question/206358
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