my little brother needs help with this problem
Mrs. Henderson discovered that she had accidentlly reversed the digits of a test score and shorted a student 36 pts. Mrs. Henderson told that student that the sum of the digits was 14 and agreed to give the student his correct score plus extra credit if he could determine his actual score without looking at his test. what was his actual score on the test?

i know the answer is 95 but i have no idea how to set it up
thanks for the help

His score is a two digit number, which can be represented as 10a+b, where a is the 10s digit and b is the 1s digit

The number with the digits reversed in therefore 10b+a, and his score minus 36 is 10a+b-36

10b+a=10a+b-36

and a+b=14

Solving this gives a=9 and b=5, therefore his score is 10(9)+5=95

__________________
Using elementary concubinary logic, you can easily show that the flumex is both semi-dependent and, even more importantly, quasi-invariant

TheCorrectScore - ReversedScore = 36
If the digits were a & b:

ab - ba = 36

10a+b - (10b + a) = 36

10a + b - 10b - a = 36

9a - 9b = 36

a - b = 4
you already know that a+b = 14


a+b=14
a-b = 4

Add the two equations & then subtract the two Equations.

2a = 18; a=9
2b = 10; b=5

.The actual score without the extra credit would be 95.

The thing to remember, JF, is (using 329 as example):
3*100 + 2*10 + 9 = 300 + 20 + 9 = 329 ; get it?

__________________
I'm a social drinker; when someone says "I'm having a drink", I answer "so shall I".