Answer:
37,502
Step-by-step explanation:
With the provided details we have:
Range of number = 37,493 - 37,503
The number is even number
Therefore, possible options are:
37,494
37,496
37,498
37,500
37,502
When number rounded to nearest tens, is less than the original number
Rounding off above numbers to nearest tens we have
37,490
37,500
37,500
37,500
37,500
There is only 2 numbers which full fill the condition of original number number being smaller than the rounded off number.
37,494 and 37,502
The next condition is on rounding to nearest 1,000's
37,494 rounded to 37,000
37,502 rounded to 38,000
Provided that the rounded number in 1000's is more than the original mystery number.
37,000 is less than 37,494 thus not feasible.
38,000 is more than 37,502
This is the mystery number.