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EastWind [94]
3 years ago
9

One positive number is 5 times another number. the difference between the two numbers is 1140, find the numbers.

Mathematics
1 answer:
Gekata [30.6K]3 years ago
8 0
5x-x=1140
4x=1140
x=285
5x=1425
The two numbers are 285 and 1425
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Check the picture below.

\bf \stackrel{\measuredangle DAC}{4y+2x}~~=~~\stackrel{\measuredangle BCA}{9y-x}\implies 2x=5y-x\implies 3x=5y\implies \boxed{x=\cfrac{5y}{3}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\measuredangle DAB}{[(4y+2x)+35]}~~+~~\stackrel{\measuredangle ADC}{5x+4}~~=~~180\implies 4y+2x+5x+39 = 180 \\\\\\ 4y+7x+39=180\implies 4y+7x=141\implies \stackrel{\textit{substituting "x"}}{4y+7\left( \boxed{\cfrac{5y}{3}} \right)} = 141

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3 years ago
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