10's complement of a number statement

Question

The values of a,x,y if 47x80 is the 10's complement of yaya0 is:

I calculated the 10's complement of yaya0 to be 100,000-yaya0 and then.

   47x80=100,000-yaya0

Now how to find values ?

score 2 · Accepted Answer · answered Nov 18 '14 at 11:05

2

47080 + 100x = 100000 - (10000y + 1000a + 100y + 10a)
52920 = 100x + 10100y + 1010a

==> a = 2 otherwise you won`t get the 2 as tens

50900 = 100x + 10100y

this can be split up in 5 = y and 9 = x + y

so

a = 2
x = 4
y = 5

answered Nov 18 '14 at 11:05

mch

9,424
2
28
42

1

because a, x and y are digits, the only possibility to get the 20 in 52920 is that a=2. You also could compare the digits in the second line and get: 5 = y, 2 = a, 9 = x+y, 2 = a and 0 = 0. – mch Nov 18 '14 at 12:32

score 0 · Answer 2 · answered Nov 15 '14 at 17:01

0

47x80 represents a number where 'x' is the hundreds. So does yaya0 where 'y' represent the 10-thousands and the hundreds and 'a' represents the thousands and the tens.

The rest is obvious.

answered Nov 15 '14 at 17:01

Alex

467
4
13

What's the '0' here/Won't it make all the term equal to 'zero'? – Khan Nov 15 '14 at 18:27
Wouldn't it be 47x80=y^2*a^2*0(all term becomes zero then?) – Khan Nov 15 '14 at 18:28
It isn't multiplication, it is a number representation in decimal. 4,7,x,8,0 are digits as also a,y,0. – Alex Nov 15 '14 at 18:32

10's complement of a number statement

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