ABC is a three digit rational number in which each digit is different.Triple of this number is CCC having all three digits same .What digits do the letters ABC represents?
2006-09-30 03:51:48 · 6 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
ABC * 3 = CCC = C* 111
or ABC = C* 37
C* 7 must end in C
so C= 5
ABC = c*37 = 5*37 = 185
185 *3 = 555
THE NUMBER IS 185
2006-09-30 03:57:32 · answer #1 · answered by Mein Hoon Na 7 · 2⤊ 0⤋
Answer is 185. You can solve this on piece of paper easily as what the other answers have done.
But how do you solve this mentally?
Well, which digit multiplied by itself give number ending with same digit? Since 0 is out, the only digit is 5.
Now obviously only one 3 digit number 555 ends with 5.
Divide 555 by 3 and viola you get the answer 185. Don't need piece of paper to do this :)
2006-09-30 12:23:37 · answer #2 · answered by TheErrandBoy 2 · 0⤊ 0⤋
It's quite easy. Look at the last digit -- it's the same in both. If CCC isn't zero, there's only one possibility for the last digit, which tells you CCC exactly. Just divide by 3 to get A and B.
2006-09-30 10:56:59 · answer #3 · answered by Charles G 4 · 1⤊ 0⤋
185
2006-09-30 10:57:58 · answer #4 · answered by Anonymous · 1⤊ 0⤋
ABC = 185
2006-09-30 11:02:03 · answer #5 · answered by Fredrick Carley 2 · 1⤊ 0⤋
Alcholic Beverage Association
2006-09-30 10:52:59 · answer #6 · answered by icyhott4urmind 1 · 0⤊ 3⤋