my tens digit is 3 less than my hundredths digit. The difference between my tenths and hundredths digit is 5. The sum of my digits is 10. What number am I?

How can the tenths digit be "3 less" and have a difference of 5 from the hundredths digit?

Do you really mean "tenths" and "hundredths"? How many digits are you dealing with?

I am dealing with 3 digit numbers. and it's tenths and hundredths. thank you

To find the number, let's use a variable to represent each digit.

Let's say:
- Tens digit = T
- Hundredths digit = H
- Tenths digit = N

According to the given information:
1. "Tens digit is 3 less than the hundredths digit" translates to: T = H - 3.
2. "The difference between tenths and hundredths digit is 5" translates to: N - H = 5.
3. "The sum of the digits is 10" translates to: T + H + N = 10.

Let's solve this system of equations step by step:

From equation 1, we can rewrite T = H - 3 as H = T + 3.

Substituting H = T + 3 into equation 2 gives us N - (T + 3) = 5.
Simplifying, N - T - 3 = 5.

Rearranging equation 3, we get N = 10 - T - H.

Now we can substitute N = 10 - T - H into equation 2:
N - T - 3 = 5
(10 - T - H) - T - 3 = 5
10 - 2T - H - 3 = 5
7 - 2T - H = 5
2 - 2T - H = 0
-2T - H = -2
-2T = -2 + H
2T = H - 2
T = (H - 2)/2

Substituting T = (H - 2)/2 into equation 3, we have:
(H - 2)/2 + H + N = 10
Multiplying everything by 2 to eliminate the fraction gives us:
H - 2 + 2H + 2N = 20
3H + 2N = 22
Rearranging, 2N = 22 - 3H
N = (22 - 3H)/2

Now we have expressions for T, N, and H in terms of each other.

To find the number, we need to find values for H, N, and T that satisfy all the conditions.

Since the sum of the digits is 10, T + H + N = 10. We can substitute the expressions above into this equation:
(H - 2)/2 + H + (22 - 3H)/2 = 10
Multiplying everything by 2 to eliminate the fractions gives us:
H - 2 + 2H + 22 - 3H = 20
H - 3H + 2H = 20 - 22
-H = -2
H = 2

Substituting H = 2 into the expression for T gives us:
T = (2 - 2)/2
T = 0

Substituting H = 2 into the expression for N gives us:
N = (22 - 3(2))/2
N = (22 - 6)/2
N = 16/2
N = 8

Therefore, the number is 082.

Please note, leading zeros are not significant, so the number can be written as just 82.