SOLUTION: 1) The first number is 5 more than the 2nd. Three times the first increased by twice the second results in 30. Find the numbers.

Question 1054273: 1) The first number is 5 more than the 2nd. Three times the first increased by twice the second results in 30. Find the numbers.

Found 2 solutions by Boreal, stanbon:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
x is first number
x-5 is the second
3x+2(x-5)=30
3x+2x-10=30
5x=40
x=8
x-5=3
the numbers are 8 and 3
8 is 5 more than 3
3*8=24 and increased by 2(3) makes 30.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The first number is 5 more than the 2nd. Three times the first increased by twice the second results in 30. Find the numbers.
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f = s+5
3f + 2s = 30
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Substitute for "f" and solve for "s"::
3(s+5) + 2s = 30
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3s + 15 + 2s = 30
5s = 15
s = 3 (the 2nd number)
f = s+5 = 8 (the 1st number)
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Cheers,
Stan H.
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