SOLUTION: Please help me solve this word problem. Thank you the sum of three numbers is 37. The first number is 17 less thsn the second, and the third is six more than two times the seco

Question 398550: Please help me solve this word problem. Thank you
the sum of three numbers is 37. The first number is 17 less thsn the second, and the third is six more than two times the second. what is the least of the three numbers?
Found 2 solutions by stanbon, checkley79:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
the sum of three numbers is 37. The first number is 17 less thsn the second, and the third is six more than two times the second. what is the least of the three numbers?
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Let the numbers be x,y, and z.
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Equations:
x + y + z = 37
x = y-17
z = 2y+6
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Substitute for x and for z and solve for "y":
(y-17) + y + (2y+6) = 37
4y -11 = 37
4y = 48
y = 12
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x = y-17
x = 12-17
x = -5
------------
z = 2y+6
z = 2*12+6
z = 30
===============
Cheers,
Stan H.

Answer by checkley79(3341) (Show Source): You can put this solution on YOUR website!
X=Y-17
Z=2Y+6
X+Y+Z=37
(Y-17)+Y+(2Y+6)=37
4Y-11=37
4Y=37+11
4Y=48
Y=48/4
Y=12 ANS. FOR THE MIDDLE NUMBER.
X=12-17
X=-5 ANS. FOR THE SMALLER NUMBER.
Z=2*12+6
Z=24+6
Z=30 ANS. FOR THE LARGER NUMBER.
PROOF:
12-5+30=37
37=37
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