The sum of three integers is 47. If the first integer is doubled, the sum is 57. If the second integer is doubled, the sum is 62. Find the integers.

Question

owlfred · Answer

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anonymous · Answer

x+y+z=47     (1)
2x+y+z=57   (2)
x+2y+z=62   (3)

subtract (1) form (2)
x=10
subtract (1) from (3)
y=15
plug these into (1)
10+15+z=47
z=22

10,15,22

anonymous · Answer

Good job, but for simplicity, shouldn't you leave out z?

anonymous · Answer

you could do it by saying adding an extra x adds 10 so x=10, adding an extra y adds 15 so y is 15 then find the third.  I was trying to turn the statements into equations literally I geuss.

anonymous · Answer

is that what you mean?