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 By: 2000123 (offline)  Friday, May 18 2012 @ 05:33 AM CDT (Read 1447 times)
2000123

Four times a number is greater than 2/3 of the number by 90.What is the number?

Junior

Registered: 03/07/12
Posts: 21

 By: echeewh (offline)  Friday, May 18 2012 @ 05:56 PM CDT
echeewh

Hi there,

Following pls find the worked solution.

Draw a comparison model for this question.

Let the Number be 1p. So 4x will be as follows:

|---|---|---|---|

2/3 of the Number means we have to further split 1p of it into 3 equal units (u).

So the above model (of 4x the Number) will have 4p x 3 = 12u. 2/3 of the same Number (3u) = 2u.

Given the difference is 90, we have ...

12u - 2u --> 90
10u --> 90
1u --> 9

Hence, Number = 1p = 3u --> 3 x 9 = 27

==========================================

Trust the above helps.

Cheers,
Edward

Active Member

Registered: 04/21/11
Posts: 627

 By: 2000123 (offline)  Saturday, May 19 2012 @ 07:20 AM CDT
2000123

Thanks for your help.Have a nice day.

Junior

Registered: 03/07/12
Posts: 21

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