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Scorpion4ik [409]
3 years ago
10

Ben is 20 years older than Daniel. Ben and Daniel first met two years ago. Three years ago, Ben was 3 times as old as Daniel. Ho

w old is Daniel now?

Mathematics
2 answers:
Angelina_Jolie [31]3 years ago
6 0

The first thing to do is identify the unnecessary information (that they met 2 years ago).  

 

From there, let's go back three years ago.  We'll call Daniel's age x, and Ben's age will be 3x.  Ben's age is also equal to x + 20.

 

3x = x+ 20

 

2x = 20

 

x = 10

 

Daniel was 10 three years ago, and Ben was 30.  Now, Ben is 33.

CaHeK987 [17]3 years ago
5 0
Daniel is 10 and Ben is 33
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6 0
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Brianna and let kelci are raising money for a class field trip. Brianna has raised 3 times more money than kelci, but together t
ddd [48]
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7 0
4 years ago
Four points partition the directed line segment from A to B. • Point P partitions the directed line segment from A to B into a 3
Alecsey [184]

Answer:

S is closest to B.

Step-by-step explanation:

Given a directed line segment from point A to B.

Point P divides the line A to B in a ratio 3:4.

Point Q divides the line A to B in a ratio 4:3.

Point R divides the line A to B in a ratio 2:5.

Point S divides the line A to B in a ratio 5:2.

To find:

The point which is closest to the point B.

Solution:

Here, to find the point closest to B we need to find the distances PB, QB, RB and SB.

We can see the sum of ratio 3:4, 4:3, 2:5 and 5:2 is 7.

Let the distance between A and B be 7 units.

Now, the distances can be found easily.

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QB = \dfrac{3}{7}\times 7 = 3\ units

RB = \dfrac{5}{7}\times 7 = 5\ units

SB = \dfrac{2}{7}\times 7 = 2\ units

The point which has the minimum distance from point B, will be nearest to B.

We can clearly observe that SB is the minimum distance.

Therefore, <em>S is closest to B</em>.

4 0
3 years ago
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Schach [20]

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8 0
3 years ago
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