Mike is thinking of a two digit number. it is a prime number which is 3 less than a perfect square. Also, when its digits are reversed, it becomes a perfect square. What is the one possible number? explain.
2006-10-02 09:49:07 · 10 answers · asked by chet4pizza 1 in Science & Mathematics ➔ Mathematics
the first perfect square has to be an even number, 16, 36 or 64; because if u sustract 3 from an odd number, u will get an even number, which cant be a prime number(except for 2).
16-3=13 reverse 31 not a perfect square
36-3=33
64-3=61 reverse 16 A Perfect square.
2006-10-02 10:01:35 · answer #1 · answered by washiko 2 · 1⤊ 0⤋
The answer is 61. 61 is a prime, is three less than 64, a perfect square, and if you reverse the digits you get 16, another perfect square.
2006-10-02 09:56:57 · answer #2 · answered by Anonymous · 0⤊ 0⤋
There are only 7 perfect squares that are 3 more than a 2-digit number. Just see which one fits the bill. It should only take a minute to try all possible combinations.
2006-10-02 09:53:55 · answer #3 · answered by Pretzels 5 · 1⤊ 0⤋
16-3=13, which is a prime, but reversed it is 31 which isn't a square. etc etc up to 64-3=61 (primer), reversed is 16, a square.
The answer is 61.
(might i add that it took me, a non-mathematician, only 3 minutes to solve this by taking the brute-force approach...there are only six perfect two-digit squares)
2006-10-02 09:55:23 · answer #4 · answered by Wally M 4 · 0⤊ 0⤋
61
It is three less than 64 - perfect square of 8 x 8 and
When 61 is reversed you have 16 - perfect square of 4x4
2006-10-02 09:55:30 · answer #5 · answered by the Goddess Angel 5 · 0⤊ 0⤋
61 is prime
64 is a perfect square and 64 - 3 = 61
61 in reverse is 16 (which is a perfect square).
2006-10-02 09:54:03 · answer #6 · answered by MsMath 7 · 0⤊ 0⤋
dividing a three digit volume by skill of a 2 digit volume is reminiscent of dividing a 2 digit volume by skill of a one digit volume--the technique continues to be an same only a touch better complicated and regularly carried out on paper and not in any respect on your head. it truly is your only simplest way---prepare at it an same way you probably did 2 digit by skill of one digits.
2016-11-25 23:08:10 · answer #7 · answered by Anonymous · 0⤊ 0⤋
33
2006-10-02 09:50:50 · answer #8 · answered by Anonymous · 0⤊ 2⤋
61...no explanation necessary, it fits the clues.
2006-10-02 09:53:50 · answer #9 · answered by Anonymous · 2⤊ 0⤋
23
23+3=26
26/4=6.5
23=32
32/4=8
maybe??????
2006-10-02 09:54:08 · answer #10 · answered by Anonymous · 0⤊ 2⤋