# The smaller numberWhich is the smaller number between a and b, knowing that 2*a=48 and 5*b=75

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If I can solve this problem, anyone can. Both of these equations have to be solved to find the value of a and b. To do this you divide both sides of the equations. For example 2*a=48 you divide both sides by 2 and the answer is a=24. The other equation would be divided by 5, so 5*b=75, and the answer is b=15. With that in mind, b=15, so b is the smaller number.

To solve thia problem you need to solve both equations, This is rather simple, all you need to do is divide in both cases. So 48 divided by 2 equals 24, so the value of a is 24. The other equation you divide 75 by 5 and the answer is 15, so the value of b is 15. So to answer your question of which is smaller it would be b.

When a problem is solved , there are always, at least 2 ways of doing it. So, if there are brains who could find "a method", or 2, or more for solving problems, of course, there are brains who could find a method or another, much more appropriate to apply it. So, this could represent a meaning for having more methods of solving a problem, no matter how easy it seems.

Having from where to choose, may become reassuring for who is trying not only to solve but to understand it, also.

Were it understood that to solve for an unknown or with respect to a sign a problem is solved, there is still yet a purpose to fulfill with the answer once assumed or even abided by.

Each number still holds true in existance, that the smaller is either number being measured from a vantage point at which the assumption is forfited.

The smaller numberWhich is the smaller number between a and b, knowing that

2*a=48 and 5*b=75

2a=48. Divide each side by 2, a=24.

5b=75. Divide each side by 5, b=15. So b is smaller than a.

When a problem is solved , there are always, at least 2 ways of doing it. So, if there are brains who could find "a method", or 2, or more for solving problems, of course, there are brains who could find a method or another, much more appropriate to apply it. So, this could represent a meaning for having more methods of solving a problem, no matter how easy it seems.

Having from where to choose, may become reassuring for who is trying not only to solve but to understand it, also.

I see no sense in going in a round about way in answering the question. The value of a and b can be easily determined independently and then compared to find out which of the two is smaller. Solution using this method is given below.

**Solution**:

2*a = 48

Therefore: a = 48/2 = 24

And

5*b = 75

Therefore: b = 75/5 = 15

By examining the value of a and b we see b is smaller than a.

Answer:

b is smaller than a.

Another way to see this issue is to consider 2a=48 as a starting point.

We'll try to find out what is the value of 2b, in this way we could make the comparison between 2a and 2b.

All we know is the value of 5b=75.

In order to find out 2b, we'll multiply the expresion 5b=75, with the ratio (2/5), so the expression will become:

(2/5)*5b=(2/5)*75

We'll arrange the factors of multiplication so that we'll put in evidence those that will be simplified:

2*(5/5)*b=2*(75/5)

2b=2*15

2b=30

So, if 2a=48 and 2b=30, it is obvious that **2a>2b (48>30).** If we'll divide inequality with 2, given that 2 is a positive value, the sign of inequality will remain unchanged, so

**a>b**

There are two equations:

2a=48 and

5b =75.

Fro the first equation, we get a is half of 48 or a=24.

From the 2nd equation b is one fifth of 75. Or b = 15.

Now a = 24 and b = 15. So, 24 > 5. Therefore,a > b or b < a.