Mr. Smith wants to hire a tutor for his child. He places an ad in the newspaper. He wants to make sure he gets a good one so this is how the ad reads:
Math Tutor Needed
10hrs/week
Call: ABC-DEF-GHIJ
ACGH are prime numbers
FIJ are square numbers
BDEFG are even numbers
C is a factor of J
A+D = E+J
I have a math question ppl, plz help!?
ABC-DEF-GHIJ
703-864-2519
here's how to do it:
1}first off, it's a telephone number so the #s are %26lt;0123456789%26gt;
2}out of those, 2,3,5,7 are prime #s; so [ACGH] can be either of those #s
3}out of the #s left %26lt;0,1,4,6,8,9%26gt;, 1,4,9 are square #s; so the [FIJ] group corresponds to those #s
4)the #s now left are %26lt;0,6,8%26gt;; which corresponds to the [BDE] group, the last letters left out of ABCDEFGHIJ.
5}it says F is an even #, the only even # in the [FIJ] group (1,4,9), is 4; therefore F=4
6}it says G is an even #, the only even # in the [ACGH] group(2,3,5,7) is 2;therefore G=2
7}C can now be (3,5,7) and J can now be either (1,9), but it says C is a factor of J. 3 is a factor of 9 (if you multiply 3 times 3 you get 9); therefore C=3 and J=9
8}since we know that F=4 and J=9, we can assume that I=1 because 1 is the last # left in the [FIJ] group (1,4,9)
9}now A+D=E+9; what I did was plug in different #s for A (5, 7) ,D (0,6,8), and E (0,6,8) until both sides were even. The numbers I ended with were 7+8=6+9. (15=15); so A=7, D=8, and E=6
10}since we know that A=7, C=3, and G=2; we can assume that H=5 because 5 is the last # left in the [ACGH] group.
11}%26lt;0%26gt; is the only # left, so B=0
12}now you substitute all the letters A=7 B=0 C=3 D=8 E=6 F=4 G=2 H=5 I=1 J=9 for these #s and you get 703-864-2519!
Reply:783-864-2019
ABC-DEF-GHIJ
Hope that's right for you. Check it.
pansy
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