# math

posted by .

The sum of the digits of a two-digit number is 16. If the digits are reversed the new number will be 18 greater than the original number. Find the number.

• math -

By trial and error, I found that three numbers meet the first criteria: 88, 79, 97.

Which of those numbers meets the second criteria?

• math -

79

• math -

Let A = the first digit and B + the second digit.

Then A + B = 16 and 10B + A = 10A + B + 18 or B - A = 2

Adding A + B = 16 and B - A = 2 yields B = 9 and A = 7 making the initial number 79.

Therefore, A + B = 16 and 97 - 79 = 17.

• math -

Sorry for the mental error. The hand was slower than the eye.

Let A = the first digit and B + the second digit.

Then A + B = 16 and 10B + A = 10A + B + 18 or B - A = 2

Adding A + B = 16 and B - A = 2 yields B = 9 and A = 7 making the initial number 79.

Therefore, A + B = 16 and 97 - 79 = 18

• medroxyprogesterone in internet fedex spain -

medroxyprogesterone in internet fedex spain

## Similar Questions

1. ### math ALGEBRA

When the digits of two-digits numbers are reversed, the new number is 9 more than the original number, and the sum of the digits of the original number is 11. What is the original number. Can some one please help me here?
2. ### math

The sum of the digits of a two-digit number is 14. If the numbers are reversed, the new number is 18 less than the original number. Find the original number. I know Ana asked this question, but i don't understand how to get the equations.
3. ### math

the sum of the digits of a two digit number is 9. if the digits are reversed, the new number if 63 grater than the original number. what is the original number?
4. ### Algebra 2

The sum of the digits of a two-digit number is 9. If the digits are reversed, the new number is 27 more than the original number. Find the original number. I hate silly word problems like this, please help me out.
5. ### algebra

The value of a certain two-digit number is eight times he sum of its digits. if the digits of the number are reversed the result is 45 less than the original number. find the original number. **please show both equations and work... …
6. ### algebra

A number consists of two digits. The sum of twice the tens digit an 5 times the units digit is 19. If the digits are reversed, the new number is 54 less than the original number. Find the number
7. ### algebra

The sum of the digits of a two-digit number is eleven. If the digits are reversed, the new number is sixty-three less than the original number. Find the original number. Help?
8. ### algebra

A positive two-digit number is such that the product of the digits is 24.When the digits are reversed the number formed is greater than the original number by 18.Find the number.
9. ### Algebra

In a two-digit number the units’ digit is 7 more than the tens’ digit. The number with digits reversed is three times as large as the sum of the original number and the two digits. Find the number.