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Question 119441: The second of three numbers is 1 less than the first. The third number is 5 less than the second. If the first number is twice as large as the third, Find the three numbers.: The second of three numbers is 1 less than the first. The third number is 5 less than the second. If the first number is twice as large as the third, Find the three numbers.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The second of three numbers is 1 less than the first. The third number is 5 less than the second. If the first number is twice as large as the third, Find the three numbers
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Let 1st be x; 2nd by y ; 3rd be z
EQUATIONS:
y =x-1
z = y-5
x = 2z
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Rearrange the equations:
x-y+0 = 1
0+y-z = 5
x+0-2z= 0
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I used the Matrix function of a TI caluculator to get:
x = 12 (This is 1st)
y = 11 (This is 2nd)
z = 6 (This is 3rd)
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Cheers,
Stan H.
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