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) About Me  (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.B=A%2B5
and
"Three times the smaller is equal to twice the larger increased by 8"
2.3A=2B%2B8
From 1,
2B=2A%2B10
Substituting into 2,
3A=%282A%2B10%29%2B8
3A=2A%2B18
Subtract 2A from both sides.
A=18
Now use either equation to solve for B.

Answer by MathTherapy(10552) About Me  (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