sorry its 13 more, not 18

x + y + z = 223...(1) x + 13 = z x + z = 2y + 7...(2) Replacing z with x + 18 into (1) and (2) gives: x + y + (x + 13) = 223 i.e. 2x + y = 210...(1) and x + (x + 13) = 2y + 7 i.e. 2x - 2y = -6...(2) (1) - (2) => 3y = 216 so, y = 72 Hence, 2x + 72 = 210 => 2x = 138 i.e. x = 69 Therefore, z = 69 + 13 => 82 so, (x, y, z) --> (69, 72, 82) :)>

Is the largest number 18 more than the smallest, or is it 13 more than the smallest? Your words say 18, but your equations have 13.

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## Answers

x + y + z = 223...(1)

x + 13 = z

x + z = 2y + 7...(2)

Replacing z with x + 18 into (1) and (2) gives:

x + y + (x + 13) = 223

i.e. 2x + y = 210...(1)

and x + (x + 13) = 2y + 7

i.e. 2x - 2y = -6...(2)

(1) - (2) => 3y = 216

so, y = 72

Hence, 2x + 72 = 210

=> 2x = 138

i.e. x = 69

Therefore, z = 69 + 13 => 82

so, (x, y, z) --> (69, 72, 82)

:)>

Is the largest number 18 more than the smallest, or is it 13 more than the smallest? Your words say 18, but your equations have 13.

feafeaaf