21-02-2018
Mathematics

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Divide 180 into two parts such that the larger is 16 more than 3 times the smaller. Find the numbers. Please help?

Respuesta :

21-02-2018

larger: x
smaller: 180 - x

x + 16 = 3 (180 - x)
distribute the 3
x + 16 = 540 - 3x
subtract 16 from both sides
x = 524 - 3x
add 3x to both sides
4x = 524
divide both sides by 4
x = 131 (larger)
180 - 131 = 49 (smaller)

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