SOLUTION: The sum of three numbers is 301. The second number is 3 less than twelve times the first number. The third number is 4 more than seven times the first number. Find the three nu

Question 22678: The sum of three numbers is 301. The second number is 3 less than twelve times
the first number. The third number is 4 more than seven times the first number.
Find the three numbers.
Answer by Paul(988) (Show Source): You can put this solution on YOUR website!
First number = x
Second number = y
Third number = z
x+y+x=301
y=12x-3----------------->12x-y=3
z=4+7x------------------>7x-z=-4

x+y+z=301
7x-z=-4
8x+y=297 <--------New equation

8x+y=297
12x-y=3
20x=300

x=15

y=12(15)-3
y=177
z=4+7(15)
z=109
Hence, the three numbers are 15, 109 and 177.
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