## When a two digit number is reversed it increases by 45 how many such numbers are possible?

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4 such

∴ There are 4 such two-digit numbers are possible.

## How do you interchange digits?

That is, to interchange, it must be a two-digit or more than two-digit number. If the given number is a two-digit number, then simply reverse the number. For example, if the number is 12 then after reversing, it will become 21. See, its digit (first and last) gets interchanged.

**How do you find the digits of a number?**

Units digit of a number is the digit in the one’s place of the number. i.e It is the rightmost digit of the number. For example, the units digit of 243 is 3, the units digit of 39 is 9.

**What is an example of a linear word problem?**

The word problem may be phrased in such a way that we can easily find a linear function using the slope-intercept form of the equation for a line. Example 1: Hannah’s electricity company charges her $0.11 per kWh (kilowatt-hour) of electricity, plus a basic connection charge of $15.00 per month.

### What is the number of two digit number excluding 27 which when reversed results in a number which is greater than the original number by 45?

14,25,36,47,58,69 are all the two digit numbers which when added to 27 get reversed.

### When you reverse the digits in a certain two digit number you decrease its value by 9?

If the digits are reversed, a different number is formed & its value must be 10u+t. Now you have two equations: 10t+u = 10u+t + 9 (because “When you reverse the digits in a certain two digit number you decrease its value by 9”). Also, t+u = 11.

**What is meant by interchanging the digits?**

Sum of the digits of a two-digit is number is 9. When we interchange the digits,it is found that the resulting new number is greater than the original number by 27.

**When the digits of a two digit numbers are reversed?**

Remark: The difference of a two digit number and its reversed number is exactly divisible by 9 and the quotient obtained is either the difference of the digits of the original 2-digit number or 0. yzx = 100z + 10x + y.