SOLUTION: 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 th

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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): You can put this solution on YOUR website!
Two numbers, m and n;

, the first described relationship

, the second described relationship


Work with those and find m and n.
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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