If the tens digit of a two-digit number is subtracted from the units digit, the difference is 8. The number with the digits reversed is 10 more than nine times the units digit of the original number. Find the number.

Hint:

There are only two digits that can make a difference of 8, namely 9 and 1.

Can you take it from here?

can you set up the two equations for me?

I am a 2 digit number. The sum of my digits is 12 . My tens digit is 4 more than my ones digit. What number am I ?

X + y = 12

X - y = 4

12 + 4 = 16
16: 2 = 8

8 + 4 = 12
8 - 4 = 4

Tha number is 84

1000000

a four-digit number between 12 and 13 has an odd number in the hundredts place and an even number in the tenths

yo yo honey singh

008

To solve this problem, let's break it down into steps:

Step 1: Understand the problem
We are given a two-digit number, and we need to find that number. We have two pieces of information:
- If we subtract the tens digit from the units digit, the difference is 8.
- The number with the digits reversed is 10 more than nine times the units digit of the original number.

Step 2: Represent the number algebraically
Let's represent the original number as "10a + b", where "a" represents the tens digit and "b" represents the units digit. Since the original number is a two-digit number, both "a" and "b" are single-digit numbers.

Step 3: Express the given conditions algebraically
- If we subtract the tens digit from the units digit, the difference is 8: b - a = 8.
- The number with the digits reversed is 10 more than nine times the units digit of the original number: 10b + a = 9b + 10.

Step 4: Solve the system of equations
Let's solve the system of equations formed in step 3:
b - a = 8 (Equation 1)
10b + a = 9b + 10 (Equation 2)

To solve the system, we can either substitute one equation into the other or use addition/elimination method.

Substituting Equation 1 into Equation 2:
10b + (b - 8) = 9b + 10
11b - 8 = 9b + 10
11b - 9b = 10 + 8
2b = 18
b = 9

Substituting the value of b into Equation 1:
9 - a = 8
-a = 8 - 9
-a = -1
a = 1

So, the tens digit (a) is 1, and the units digit (b) is 9.

Step 5: Find the original number
The original number is given by "10a + b":
10(1) + 9 = 10 + 9 = 19

Therefore, the original number is 19.