How much did each of them have initially?

[Chikis]

If Ade gives N5 out of what he has to Chidi, the two of them will have equal amount. If Chidi gives out N5 to Ade, Ade will have twice as much as Chidi. How much did each of them have initially?

The two people involved are

Ade a and Chidi c

 

a - 5 = c + 5

The above equation, is from the first sentence of the question.

I found it difficult deriving an equation from the second sentence.

 

Let me try. If Chidi gives out N5 to Ade, he has c-5. Ade has 2c

[math]\to[/math]

a = 2c

How do reason to get a good equation for the second second sentence?

Edited July 17, 2014 by Chikis

[imatfaal]

Ok your first equation seems ok to me.

 

• Your first step in the second equation seems good as well.
• There is a second step (hint - if Chidi has lost 5 then Ade has gained 5).
• And then you need to think how to represent "Ade will have twice as much as Chidi" after the first two steps have given you expressions for Ade and Chidi

Then you have simultaneous equations to solve which are easy enough

[Chikis]

Let's look at it this way:

Asuming that if Chidi gives out N5 to Ade, Ade's pay would be the same as Chidi's pay

c-5 = a+5

 

Let's consider the case, where if Chidi gives out N5 to Ade, Ade will now have two times what Chidi has.

That gives us the equation:

c-5 = 2(a+5)

I believe the above equation is correct.

[imatfaal]

Let's look at it this way:

Asuming that if Chidi gives out N5 to Ade, Ade's pay would be the same as Chidi's pay

c-5 = a+5

 

Let's consider the case, where if Chidi gives out N5 to Ade, Ade will now have two times what Chidi has.

That gives us the equation:

 

I believe the above equation is correct.

 

Hmmm. Your syntax in changing text into equations is a screwy.

 

• c and c-5 is what chidi had / has.
• a and a+5 is what ade had / has.

I presume you are OK with those as you have used them yourself.

 

But this line "Ade will have twice as much as Chidi" is possibly causing you problems.

if we write your equation out and re-translate to words

 

c-5 = 2(a+5)

--- we know that c-5 is what chidi has, and a+5 is what ade has and 2() is two times; so we get

(what chidi has) equals two times (what ade has)

 

Ooops.

 

And you have not attempted to solve the linear equations.

[Chikis]

But is my equation correct?

[studiot]

Let's consider the case, where if Chidi gives out N5 to Ade, Ade will now have two times what Chidi has.
That gives us the equation:
c-5 = 2(a+5)
I believe the above equation is correct.

 

Yes that is your second equation. See edit below

 

You have two unknowns, a and c and two independent equations so you can now solve them.

 

Edit, sorry no the 2 is in the wrong place ie on the wrong side of the equation.

 

Ade has twice what Chide has (after the transfer of the 5N)

Edited July 20, 2014 by studiot

[Chikis]

I have reasoned deep and have got the right equations.

The equations are

c-5 = a+5

2(c-5) = a+5

[math]\to[/math]

2c-10= a+5

c + 5 = a-5

c - 25 =10

using elimination method we have

c = 35

Chidi has N35.

from

c-5 = a+5

[math]\to[/math]

a = c-5-5

= 35-10

therefore

Ade has N25.

Edited July 20, 2014 by Chikis

[studiot]

 

If Ade gives N5 out of what he has to Chidi, the two of them will have equal amount. If Chidi gives out N5 to Ade, Ade will have twice as much as Chidi. How much did each of them have initially?

The two people involved are

Ade a and Chidi c

 

a - 5 = c + 5

The above equation, is from the first sentence of the question.

 

 

This is correct.

 

Also it says that Ade has more than Chidi that is a is greater than c

 

So how do you make a = 25 and c = 35?

 

Actually I think you have dropped another sign somewhere since the numbers are correct but reversed.

 

 

The equations are

c-5 = a+5 No. check with above

2(c-5) = a+5 Yes this is correct

 

Edited July 20, 2014 by studiot

[imatfaal]

Chikis - per Studiot's post above and my previous, you need to be more careful and read back your work. You have transcription errors (ie stuff changes from right in first post to wrong further down). And with linear equations you must always take your answer back to the very first information and check that your answers work out.

[studiot]

Imatfaal you may wish to know that Chikis is also working on this question in this thread, or at least the presentation.

(This is not a complaint.)

 

http://www.scienceforums.net/topic/84559-how-do-i-show-the-underline-when-am-solving-equations/

[bhaazee]

For the first sentence,

a - 5 = c + 5

For the second sentence,

(c - 5)/2 = a + 5

Hence c = - 35 and a = - 25

 

Correct me if I am wrong

Edited July 24, 2014 by bhaazee

[imatfaal]

For the first sentence,

a - 5 = c + 5

For the second sentence,

(c - 5)/2 = a + 5

Hence c = - 35 and a = - 25

 

Correct me if I am wrong

 

 

Nope that's not quite it. I will repeat my text from above - if you still do not understand, then reread Studiot and my posts and then ask

 

But this line "Ade will have twice as much as Chidi" is possibly causing you problems.

if we write your equation out and re-translate to words

 

c-5 = 2(a+5)

--- we know that c-5 is what chidi has, and a+5 is what ade has and 2() is two times; so we get

(what chidi has) equals two times (what ade has)