SOLUTION: Hello I am taking the sat and I've just come across abit of a funny question and I would like some help on how to get through a question like this thanks If the sum of two numb

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Question 951065: Hello I am taking the sat and I've just come across abit of a funny question and I would like some help on how to get through a question like this thanks
If the sum of two numbers is 10 and one of these numbers is equ al to the sum of 6 and twice the other number what is the value of the larger number minus the smaller number
Then I had a a selection of number and fractions

A. 2
B. 5 1/4 I converted this to 21/4
C. 6
D. 7 1/3 I converted this to 22/3
E. 8 1/2 I converted this to 17/2
But I'm still abit confused because of the question :(

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
A%2BB=10
B=6%2B2A
Substituting,
A%2B6%2B2A=10
3A=4
A=4%2F3
So then,
4%2F3%2BB=10
B=30%2F3-4%2F3
B=26%2F3
And the difference is,
B-A=26%2F3-4%2F3
B-A=22%2F3
B-A=7%261%2F3