Explicación paso a paso:
[tex] \frac{a}{b} = \frac{5}{4} \\ a + b = 90 \\ 4a = 5b \\ 4a - 5b = 0 \\ a + b = 90 \\ 4a - 5b = 0(1) \\ a + b = 90(5) \\ 4a - 5b = 0 \\ 5a + 5b = 450 \\ 9a = 450 \\ a = \frac{450}{9} \\ a =50 \\ a + b = 50 \\ 50 + b = 90 \\ b = 90 - 50 \\ b = 40 \\ a - b = 50 - 40 = 10[/tex]
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Explicación paso a paso:
[tex] \frac{a}{b} = \frac{5}{4} \\ a + b = 90 \\ 4a = 5b \\ 4a - 5b = 0 \\ a + b = 90 \\ 4a - 5b = 0(1) \\ a + b = 90(5) \\ 4a - 5b = 0 \\ 5a + 5b = 450 \\ 9a = 450 \\ a = \frac{450}{9} \\ a =50 \\ a + b = 50 \\ 50 + b = 90 \\ b = 90 - 50 \\ b = 40 \\ a - b = 50 - 40 = 10[/tex]