# algebra

posted by Bri

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... thanks =)

1. Reiny

let the unit digit be x
let the tens digit be y

then 10y + x = 8(x+y)
10y + x = 8x + 8y
2y = 7x
y = 7x/2

the number reversed would be 10x+y

then 10y+x - (10x+y) = 45
9y -9x = 45
-x+y=5
sub in the 1st equation
-x + 7x/2 = 5
-2x + 7x = 10
x = 2
then y = 7

original number is 72

2. Anonymous

when a number is squared ,the result is five times the original number find the number

## 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. ### 8th Grade Algebra

These are extra credit questions, and I just want to know how to solve them. 1) The sum of two-digits of a two digit number is 14. If the number represented by reversing the digits is subtracted from the original number, the result …
3. ### 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.
4. ### 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
5. ### algebra

A number consists of two digits. The sum of 3 times the units digit and 4 times the units digit is 24. If the digits are reversed, the new number is 25 less than the original number. Find the number
6. ### algebra

A number consists of two digits. The sum of 3 times the units digit and 4 times the units digit is 24. If the digits are reversed, the new number is 25 less than twice 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

The digits of a two-digit number sum to 8. When the digits are reversed, the resulting number is 18 less than the original number. What is the original 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.