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Question 1208831: Evan thinks of two numbers. If he adds 2 to the first number and then multiplies the sum by three, the result is the second number. if he subtracts 3 times the first number from the second number, the result is 8, what are the numbers?
Found 3 solutions by josgarithmetic, MathTherapy, greenestamps:
Answer by josgarithmetic(39618)   (Show Source):
Answer by MathTherapy(10552)  (Show Source):
You can put this solution on YOUR website!
Evan thinks of two numbers. If he adds 2 to the first number and then multiplies the sum by three, the result is the second number. if he subtracts 3 times the first number from the second number, the result is 8, what are the numbers?
No such numbers!
Let 1st number be F, and 2nd, S
Then we get: 3(F + 2) = S____3F + 6 = S ------ eq (i)
Also, S - 3F = 8 ----- eq (ii)
3F + 6 - 3F = 8 ----- Substituting 3F + 6 for S in eq (ii)
3F - 3F = 2
 , and therefore, there are NO SOLUTIONS!!
Answer by greenestamps(13200)  (Show Source):
You can put this solution on YOUR website!
Let the first number be x and the second be y.
If he adds 2 to the first number and then multiplies the sum by three, the result is the second number: y=3(x+2)=3x+6
If he subtracts 3 times the first number from the second number, the result is 8: y-3x=8 --> y=3x+8
We now have two expressions for y in terms of x, so those two expressions must be equal: 3x+6 = 3x+8
That equation clearly has no solutions.
ANSWER: no solution
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