# math

posted by .

i am a three digit number. my hundreds digit is three more than my ones digit.my tens digit is oneless than my hundreds digit. what numbers can i be?

• math -

d = 100 x + 10 y + z

my hundreds digit is three more than my ones

x = z + 3

that is equivalent with :

z = x - 3

my tens digit is oneless than my hundreds

y = x - 1

d = 100 x + 10 y + z

d = 100 * x + 10 * ( x - 1 ) + x - 3

d = 100 x + 10 x - 10 + x - 3 = 111 x - 13

Solution 1 :

x = 9

y = x - 1 = 9 - 1 = 8

z = x - 3 = 9 - 3 = 6

d = 986

Solution 2 :

x = 8

y = x - 1 = 8 - 1 = 7

z = x - 3 = 8 - 3 = 5

d = 875

Solution 3 :

x = 7

y = x - 1 = 7 - 1 = 6

z = x - 3 = 7 - 3 = 4

d = 764

Solution 4 :

x = 6

y = x - 1 = 6 - 1 = 5

z = x - 3 = 6 - 3 = 3

d = 653

Solution 5 :

x = 5

y = x - 1 = 5 - 1 = 4

z = x - 3 = 5 - 3 = 2

d = 542

Solution 6 :

x = 4

y = x - 1 = 4 - 1 = 3

z = x - 3 = 4 - 3 = 1

d = 431

Solution 7 :

x = 3

y = x - 1 = 3 - 1 = 2

z = x - 3 = 3 - 3 = 0

d = 320

• math -

Just start by putting 0, 1,2, ... into the ones digit
then fulfilling the other two conditions
320
431
542
653
764
875
986 , can't use 7 or higher for the unit digits

## Similar Questions

1. ### math

my thousand digit is half my ones digit.my houndreds digit is odd and divisable by three.the sum of my hundreds digit,tens digit and ones digit is the same as the sum of my hundreds digit and ones digit. the difference between my houndreds …

i am a 5 digit number my tens digit is the sum of my hundreds digit and thousands digit. my tens digit is twice my ones digit.my hundreds digit is 1 more than zero.my thousands digit is seven times my hundreds digit.my ten thousands …
3. ### algebra

what three digit number is less than 300 and the ones digit is 4 times the hundreds digit and the tens digit is 5 more than the hundreds digit and the sum of the digits is 17
4. ### Math

i am a 4 digit number between 3000 and 4000.My ones digit is twice my thousands digit.My hundreds digit is the same as my ones digit and my tens digit is one less than the hundreds digit.If the sum of my digit is twenty,what number …
5. ### Algebra - Math HW HELP!

1) It is a five-digit whole number. 2) It is a palindrome. 3) Its tens digit is the cube root of a one-digit number. 4) The product of its hundreds digit and its ones digit is 54. 5) The sum of its hundreds digit and its ones digit …
6. ### Math

My hundreds digit is the last odd number. Five less than my hundreds digit is my ones and my tens digit is two more than my ones digit. My thousands digit is three less than my hundreds digit. my ans: 6964
7. ### Math

My thousand digit is an even number which is two more than my hundreds digit. My hundreds digit is three more than my tens digit which is three more than zero, my ones digit. My ten thousands digit is one more than my ones digit. What …
8. ### Camansi National High School

Math In a 3 digit number the hundreds digit is one half of tens digit while the ones digit is more than the tens digit. If the sum of 3 digit is 11, find the numbers.
9. ### Math

What is the answer to My hundreds digit is the last odd number. Five less than my hundreds digits is my ones and my tens digit is to more than my ones digit. My thousands digit is three less than my hundreds digit.
10. ### math

my hundreds digit is the last odd number. five less than my hundreds digit is my ones and my tens digit is two more than my ones digit. my thousand digit is three less than hundreds digit.

More Similar Questions