SOLUTION: the sum of twice one number and three times another is twenty more than the difference between them. what are the two numbers if one of the number is ten more than the other? what

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Question 365060: the sum of twice one number and three times another is twenty more than the difference between them. what are the two numbers if one of the number is ten more than the other? what are the two numbers if one of the numbers is twice as much as the other?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi,
two numbers: one of the number is ten more than the other?
Let x represent one of the numbers, (n+10) the other
Write as we Read
2n + 3(n+10) = [(n+10) - n] + 20
solving for n
2n + 3n + 30 = 30
n = 0
(0+30)= 30
0 and 30 are the numbers
one of the numbers is twice as much as the other
Let x represent one of the numbers, 2x the other
2x + 3*2x = x +20
7x = 20
x = 20/7
20/7 and 40/7 are the two numbers