Answer:
the mystery number is 27
Step-by-step explanation:
The given number is
1) a two digit number.
⇒The number is between 10 and 99.
2) The number is 3 less than a multiple of 10.
⇒The number is either of the following in the set { 20 -3, 30 -3, 40-3,50-3, 60-3, 70-3, 80-3, 90-3, 100-3}
= { 17, 27,37,47,57,67,77,87,97}
3)The number is 2 more than a perfect square.
From the above set in (2) the only number taht satisfies this condition is
27 as [tex]27 = 2 + 25 = 2 + (5)^2[/tex]
So, 27 is a number which is 2 more than a perfect square.
Hence, the mystery number is 27.
