4 years ago

Simplify 16k/7k a) k+23 b) 9k c) 23k d) 23k^2

Mathematics

1 answer:

alexira [117]4 years ago

3 0

Answer:

16/7

Step-by-step explanation:

16k / 7k

Divide the numbers

16/7

Divide the variables

k/k = 1

16/7

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Answer:

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Step-by-step explanation:

Given:

y is the number in units place

x is the number in tens place

Original Number = $10x+y$

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Now after interchanging the digits

New number = $10y+x$

New Number = 27 + Original Number

Substituting Valus in above equation we get.

$10y+x=27+10x+y\\10y-y+x-10x=27\\9y-9x=27\\9(y-x)=27\\y-x=\frac{27}{9}\\$

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Adding equation 1 and 2 we get

$(x+y=9)+(y-x=3)\\2y=12\\y=\frac{12}{2}\\y= 6\\$

Substituting value of y in equation 1 we get

$x+y=9\\x+6=9\\x=9-6\\x=3$

x=3 and y=6

Original Number = $10x+y=10\times3+6=30+6=36$

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