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Divide 126 in the ratio 4:5

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The answer is 56:70. 4 + 5 = 9. 126 / 9 = 14. 14 x 4 = 56. 14 x 5 = 70. 56:70 is the answer.
[tex]4x+5x=126\\ \\9x=126\ /:9\\ \\x=14\ \ \ \Rightarrow\ \ \ 4x=4\cdot14=56\ \ \ and\ \ \ 5x=126-56=70\\ \\check\\ \\ \frac{56}{70} = \frac{4\cdot14}{5\cdot14} = \frac{4}{5} \\ \\Ans.\ 56:70[/tex]
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