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3 years ago

14

Steven added a number to one-sixth. Will subtracted the same number from one and two-thirds. They each got the same answer. What

is the number ?

1 answer:

White raven [17]3 years ago

6 0

Answer:

x=3/4

Step-by-step explanation:

Set up an equation:

1/6+x=1 2/3-x

1/6+x=5/3-x

1/6+x=10/6-x

2x=9/6

2x=3/2

4x=3

x=3/4

Check:

common denominator of 12

2/12+9/12=11/12 AND 20/12-9/12=11/12

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on dividing $200 between A and B such that twice of A's share is less than 3 times than B's share by $20

Wittaler [7]

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Share of A is $116 and Share of B is $84.

Step-by-step explanation:

Let the share of A be $x$

Let the share of B be $y$

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$200 is shared between A and B

So, $x+y =\$200\ \ \ \ equation \ 1$

Also given;

twice of A's share is less than 3 times than B's share by $20

$2x= 3y -20\\2x-3y = -20 \ \ \ \ equation \ 2$

Solution:

Now multiplying equation 1 by 3 we get,

$3x+3y=600 \ \ \ \ equation \ 3$

Now Adding equation 2 and equation 3 we get

$(2x-3y = -20)+ (3x+3y=600)\\5x=580\\\\x=\frac{580}{5}=\$116$

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