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andrezito [222]
3 years ago
6

Three times the smaller of two consecutive EVEN integers IS four less than twice the larger. What are the two integers?

Mathematics
1 answer:
Solnce55 [7]3 years ago
6 0
Set up:

x and x + 2 are the two consecutive even integers.

Here, x is the smaller integer and
(x + 2) the bigger integer.

The equation is 3x = 2(x + 2) - 4.

Can you take it from here?
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What is the solution to the equation k- 4 3/4 = 8 1/4
zhuklara [117]

Answer:

<h2>k = 13</h2>

Step-by-step explanation:

<h3>k - 4 \frac{3}{4}  = 8 \frac{1}{4}</h3>

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That's

<h3>4 \frac{3}{4}  =  \frac{19}{4}</h3><h3>8 \frac{1}{4}  =  \frac{33}{4}</h3>

So we now have

<h3>k -  \frac{19}{4}  =  \frac{33}{4}</h3>

Move the fraction to the right side of the equation

That's

<h3>k =  \frac{33}{4}  +  \frac{19}{4}</h3>

Since they have the same denominator we can add them directly

We have

<h3>\frac{33}{4}  +  \frac{19}{4}  =  \frac{52}{4}  = 13 </h3>

we have the final answer as

<h3>k = 13</h3>

Hope this helps you

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