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3 years ago

What two numbers add to make 36 with one of the numbers being exactly twice the other? smaller number = and larger number =

Mathematics

2 answers:

ad-work [718]3 years ago

8 0

Answer:

Smaller number = 12

Larger number = 24

Step-by-step explanation:

Let's call X the smallest number, while Y is the largest number.

In this case, Y = 2X

The equation that represents the given case is,

X + Y = 36

But being Y = 2X we substitute in the equation, obtaining ...

X + 2X = 36

Now we add the X ...

3X = 36

We isolate the X to know its value ...

$x=\frac{36}{3}$

X = 12

Now we calculate the value of Y ...

Y = 2X

Y = 2 (12)

Y = 24

Smaller number = 12

Larger number = 24

Both conditions are met:

(1) The largest number is twice the smallest number: 12 * 2 = 24

(2) The sum of the two numbers is 36: 12 + 24 = 36

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Hope this helps!

worty [1.4K]3 years ago

5 0

12 and 24
The equation is 2x + x =36
So 3x = 36
Then divide each side by 3
So x =12
That is the smaller number
Multiply it by 2 to get the bigger number since it's twice the number

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andrew11 [14]

Answer: Option B: 120.

Step-by-step explanation:

I will answer in English

This problem can be translated to:

A man bought N pens, (at a cost C) if he sells each pen at 2 lira, he will have a profit of 40 lira.

If he sells each pen at 1.5 lira, he will loss a total of 20 lira.

We want to find N, the number of pens that he bought.

if he sells the N pens at 2 lira each, the revenue is:

N*2 lira

And the profit is the difference between the revenue and the cost, then the profit (40 lira in this case) is:

N*2 lira - C = 40 lira.

When he sells each pen at 1.5 lira the equation is:

N*(1.5 lira) - C = -20 lira.

Then we have two equations:

N*2 lira - C = 40 lira.

N*(1.5 lira) - C = -20 lira.

To solve this we need to isolate the variable C in one of the equations, i will isolate C in the second equation:

N*(1.5 lira) + 20 lira = C.

Now we can replace this in the first equation to get:

N*(2 lira) - (N*(1.5 lira) + 20 lira) = 40 lira.

We can solve this for N.

N*(2 lira) - N*(1.5 lira) - 20 lira = 40 lira

N*(2 lira - 1.5 lira) = 60 lira

N*(0.5 lira) = 60 lira

N = (60lira/0.5lira) = 120

N = 120

This means that he bought 120 pens.

The correct option is B.

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