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I am a five-digit number.
If you place a 1 on my right, the six-digit number that is formed is 3 times the number formed when you place a 1 on my left of the five-digit number.
What number am I?

The diagram is like this:

1) XXXXX1
2) 1XXXXX

In each of the numbers, the number represented by the 5 X's in the first part must be the same as the number represented by the 5 X's in the second part.

2007-01-20 02:25:38 · 6 answers · asked by bio-nana121 3 in Science & Mathematics Mathematics

6 answers

I'd rather write it as:

ABCDE1
1ABCDE

We know that:

A is likely to be 3 (although it could be as much as 5).

E must be 7, because 3 x 7 = 21, and you need a 1 in the last digit.

ABCD71
1ABCD7

D must be 5 since 3 x 5 = 15 + 2 = 17

ABC571
1ABC57

C must be 8 since 3 x 8 = 24 + 1 = 25

AB8571
1AB857

B must be 2 since 3 x 2 = 6 + 2 = 8

A28571
1A2857

A must be 4

428571
142857

That's the answer.... so the original number was 42,857.

2007-01-20 02:40:34 · answer #1 · answered by Jim Burnell 6 · 0 0

428571
142857

Merthod
Only one number multiplied by three gives a 1 and that's 7
Carry forward 2. 3 x 2 = 6 so add 1 and you get 7
To get a 5 multily 8 by 3 = 24. Add 1 to the 4 and get 5
Carry forward 2. 2 x 3 = 6 add 2 to get 8
to get a 2 multiply 4 by 3 = 12
Carry forard 1 x 3 + 1 = 4

Easy

2007-01-20 02:38:47 · answer #2 · answered by quatt47 7 · 0 0

x=7

2007-01-20 02:32:33 · answer #3 · answered by Anonymous · 0 1

Okay, letting xyzab be numbers, then 3(100,000+(10,000x)+(1000y)+(100z)+(10a)+b)=(100,000x)+(10,000y)+(1000z)+(100a)+(10b)+1.

Now, simplyfing, you get 300,000=(70,000x)+(7000y)+(700z)+(70a)+(7b)+1.

Now, start with b. What multiple of 7 that is you added 1 to it would give a number with 0 in one's digit?
It would be 7, right? Because 7*7 + 1= 50.
So, b should be a 7.
So, if you use the same reasoning wiht rest of digits, you should have 42857 I think!

2007-01-20 02:49:38 · answer #4 · answered by yljacktt 5 · 0 0

The answer is 42857

Working:
3 * (100000 + X) = 10X + 1
>> 300000 + 3X = 10X + 1
>> 7X = 299999
>> X = 42857

Check: 3 x 142857 = 428571

2007-01-20 02:44:18 · answer #5 · answered by dway2success 2 · 1 0

The question is worded very poorly.

xxxxx1 < large number
1xxxxx < small number

its not really a math problem but a trick problem.

100007 * 3 = 300021
1xxxxxx * 3 = xxxxx1

2007-01-20 02:39:38 · answer #6 · answered by Anonymous · 0 1

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