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3 years ago

The sum of two numbers is 14 and their difference is 4

Mathematics

2 answers:

nadya68 [22]3 years ago

8 0

Answer:

Numbers are 9 and 5

Step-by-step explanation:

x + y = 14

x - y = 4

Rewrite 1st equation

x = 14 - y

Put this into the other

14 - y - y = 4

14 - 2y = 4

14 = 4 + 2y

10 = 2y

y = 5

x + y = 14

x + 5 = 14

x = 9

Check answers both equations!!

9 + 5 = 14 Correct

9 - 5 = 4 Correct

Dimas [21]3 years ago

5 0

Answer:

Step-by-step explanation:

10+4 is 14 amd 14-4 is 10

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You want to place a towel bar that is 24 1/4 centimeters long in the center of a door that is 70 1/3 centimeters wide. How far s

Aleksandr [31]

Answer:

The towel bar should be placed at a distance of $23\frac{1}{24}\ cm$ from each edge of the door.

Step-by-step explanation:

Given:

Length of the towel bar = $24\frac14\ cm$

Now given length is in mixed fraction we will convert in fraction.

To Convert mixed fraction into fraction Multiply the whole number part by the fraction's denominator, then Add that to the numerator, then write the result on top of the denominator.

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We need to find the distance bar should be place at from each edge of the door.

Solution:

Let the distance of bar from each edge of the door be 'x'.

So as we placed the towel bar in the center of the door it divides into two i.e. '2x'

Now we can say that;

$\frac{97}{4}+2x=\frac{211}{3}\\\\2x=\frac{211}{3}-\frac{97}{4}$

Now we will take LCM to make the denominators common we get;

$2x=\frac{211\times4}{3\times4}-\frac{97\times3}{4\times3}\\\\\\2x= \frac{844}{12}+\frac{281}{12}$

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IRISSAK [1]

Answer:

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