SOLUTION: The basketball score is a 2 digit number. The sum of the digits is 8. The difference is 2. The tens digit is less than the ones digit. What is the score?

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Question 639843: The basketball score is a 2 digit number. The sum of the digits is 8. The difference is 2. The tens digit is less than the ones digit. What is the score?
Found 2 solutions by lwsshak3, neatmath:
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
The basketball score is a 2 digit number. The sum of the digits is 8. The difference is 2. The tens digit is less than the ones digit. What is the score?
**
let u=units digit
let t=tens digit
..
u-t=2
-t+u=2
t+u=8
add
2u=10
u=5
t=u-2=3
score: 35

Answer by neatmath(302) About Me  (Show Source):
You can put this solution on YOUR website!

Let a be the tens digit, let b be the ones digit.

a%2Bb=8 given

b-a=2 given

We know that we have to use b-a because the tens digit is smaller than the ones digit.

Now we just need to solve this system of equations by substitution.

b-a=2

b=a%2B2

a%2B%28a%2B2%29=8

2a%2B2=8

2a=6

a=3

b-a=2

b-3=2

b=5

Thus, the score should be ab, or 35.

I hope this helps! :)

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