# The sum of the digits of a two-digit number is 9. If the digits are reversed, the new number is 9 less than three times the original number. What is the original number? Thank you!

Number is

By signing up, you agree to our Terms of Service and Privacy Policy

Let the original two-digit number be represented as 10x + y, where x is the tens digit and y is the units digit. According to the given conditions:

- x + y = 9 (sum of the digits is 9)
- 10y + x = 3(10x + y) - 9 (reversed number is 9 less than three times the original number)

Solving these equations simultaneously:

From equation 1, we have: x = 9 - y

Substituting x = 9 - y into equation 2:

10y + (9 - y) = 30x + 3y - 9 9y + 9 = 30(9 - y) + 3y - 9 9y + 9 = 270 - 30y + 3y - 9 9y + 9 = 270 - 27y 36y = 261 y = 7

Substitute y = 7 into equation 1:

x + 7 = 9 x = 2

Therefore, the original two-digit number is 27.

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- What is the equation in point-slope form and slope intercept form for the line given (3,-4) (3,4)?
- The sum of three consecutive odd integers is 177, what are the integers?
- How do you find a standard form equation for the line with (-2,2) and (0,5)?
- 3 odd consecutive numbers have a sum of 75. What is the greatest number?
- What is the equation of the line perpendicular to #y=-1/5x # that passes through # (7,4) #?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7