SOLUTION: Divide 140 into two parts so that twice the smaller part 140−𝑥, is 12 more than two thirds of the larger part, 𝑥. Determine the sizes of both parts.

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: Divide 140 into two parts so that twice the smaller part 140−𝑥, is 12 more than two thirds of the larger part, 𝑥. Determine the sizes of both parts.       Log On

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Question 1100042: Divide 140 into two parts so that twice the smaller part 140−𝑥, is 12 more than two thirds of the larger part, 𝑥. Determine the sizes of both parts.

Found 2 solutions by jorel1380, josgarithmetic:
Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
2(140-x)=2x/3+12
6(140-x)=2x+36
840-6x=2x+36
8x=804
x=100.5
140-x=39.5
☺☺☺☺

Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
If smaller part is 140-x and larger part is x,

2%28140-x%29=%282%2F3%29x%2B12

%283%2F2%292%28140-x%29=%283%2F2%29%28%282%2F3%29x%2B12%29

3%28140-x%29=x%2B18

420-3x=x%2B18
-4x=18-420

x=%28420-18%29%2F4

highlight%28x=100.5%29
other part, 140-x=highlight%2839.5%29