Answer :
To solve the problem, let's analyze each clue step by step:
More than 6.25 but less than 6.35:
This means the number can be 6.26, 6.27, 6.28, 6.29, 6.30, 6.31, 6.32, 6.33, or 6.34.
Hundredths digit is 8:
From the numbers listed above, we're looking for numbers where the digit after the decimal and in the hundredths place is 8. This narrows it down to: 6.28.
Tenths digit is an even number:
In the number 6.28, the tenths digit (2) is even, so 6.28 fits this clue.
Sum of its digits is 16:
Finally, let's add the digits in 6.28: 6 + 2 + 8 = 16. This matches the clue.
After evaluating all the conditions, the mystery number is 6.28.