SOLUTION: what does this problem mean? the larger of 2 numbers is 1 more than 3 times the smaller. the difference between 8 times the smaller and 2 times the larger is 10

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Question 104806: what does this problem mean? the larger of 2 numbers is 1 more than 3 times the smaller. the difference between 8 times the smaller and 2 times the larger is 10
Found 2 solutions by edjones, rossiv53:
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
let b=bigger number, s=smaller
b=3s+1
8s-2b=10
8s-2(3s+1)=10 substitute 3s+1 for b.
8s-6s-2=10
2s=12
s=6
b=3*6+1=19
check:
8*6-2*19=10
48-38=10

Answer by rossiv53(27) About Me  (Show Source):
You can put this solution on YOUR website!
Let first number = x and second number = (3x+1). So equation is
8x-2%283x%2B1%29+=+10
8x-6x-2+=+10
2x-2+=+10
2x+=+12
x=6
So, first number is 6 and second is 19.
Good Luck!