Posted by **emma** on Monday, November 21, 2011 at 7:06pm.

in a two digit number, the sum of the digit is 8. the different between this number and the number with the digit reversed is 54, what is the number.

- word problem -
**Damon**, Monday, November 21, 2011 at 7:11pm
n m = 10 n + m

n+m = 8

m n = n + 10 m

n + 10 m - (10 n + m) = 54

-9 n + 9 m = 54

-n + m = 6

but

+n + m = 8

---------- add

0 +2m = 14

m = 7

n = 1

so

17

- word problem -
**Reiny**, Monday, November 21, 2011 at 7:12pm
original:

unit digit -- x

tens digit -- 8-x

the number: 10(8-x) + x

the number reversed: 10x + (8-x)

10x + 8-x - (10(8-x) + x) = 54

10x + 8 -x - 80 + 10x - x = 54

18x = 126

x = 7

unit digit = 7

tens digit = 1

original number 17

number reversed 71

or

original number is 71

number reversed is 17

in both cases the difference between them is 54

## Answer This Question

## Related Questions

- word problem - the different between the digit of a two digit number is 1, the ...
- word problem - the different between the digit of a two digit number is 1, the ...
- singapore math - My 3rd grade son get this math problem. It states that John ...
- college problem solving - a certain two-digit number is 6 less than the sum of ...
- Digit Problems - If the tens digit of a two-digit number is subtracted from the ...
- maths - Find the sum of all 3-digit positive numbers N that satisfy the ...
- maths-word problem - A two digit number is less than six times the sum of it ...
- kv luchnow - one of two digit of a two digit number is 5 time other digit if we ...
- Algebra - In a two-digit number, the tens digit is two less than the units digit...
- ALgebra...plz help - If the tens digit of a two-digit number is subtracted from ...

More Related Questions