SOLUTION: one number is 5 more than another. Three times the smaller is equal to twice the larger increased by 8 find the numbers

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Question 1125056: one number is 5 more than another. Three times the smaller is equal to twice the larger increased by 8 find the numbers

Found 2 solutions by Fombitz, MathTherapy:
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Name the two variable, A and B.
Convert the words to algebra,
"one number is 5 more than another"
1.
and
"Three times the smaller is equal to twice the larger increased by 8"
2.
From 1,

Substituting into 2,


Subtract from both sides.

Now use either equation to solve for .

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

one number is 5 more than another. Three times the smaller is equal to twice the larger increased by 8 find the numbers
Let the smaller be S
Then the larger is S + 5
We then get: 3S = 2(S + 5) + 8
3S = 2S + 10 + 8
3S - 2S = 18
S, or
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