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# Answer to Question #5820 in Algebra for Tracy

Question #5820
Twice of a number is greater than half of the same number by 60.Find the number.
1
2012-01-05T08:19:07-0500
Let&#039;s denominate the unknown number by N. Now we can write down an equation:
2N - 60 = N/2.
So, 1.5N = 60 ==&gt; N = 60/1.5 = 40.

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Pranay Goswami
05.01.12, 15:44

then my my answer is also true :)

Assignment Expert
05.01.12, 15:42

84 > 21 + 60 => 84>81 that's true.

Pranay Goswami
05.01.12, 15:33

ok !! no problem !! lets take x = 42 the 2*42 = 84 > 42/2 + 60 => 84 > 21 + 60 => 84 > 84
True ??

Assignment Expert
05.01.12, 15:30

You see in the statement of the question& that twice of a number is greater than half of the same number <u>by 60</u> . it means that twice number differs from it's half exactly by 60 and& not greater or lesser than 60. If it would be said something like difference between twice number and it's half is greater than 60 then we would write inequality. In given question we should write equation

Pranay Goswami
05.01.12, 15:23

ok .... I am 100 % agree with you. But what the question asked "Twice of a number is greater than half of the same number by 60.Find the number."
Mathematically
2x - x/2 > 60 => If we take 63 . Clearly 63>60 . then answer is 42. Am I right or wrong !!

Assignment Expert
05.01.12, 15:17

The question was should we use "=" or ">" when solving given problem
In your example we have inequality& given and of course the answer is x<-1. But in our question we should use "=" (we explained above why so) and therefore we obtain single number not inequality

Pranay Goswami
05.01.12, 15:11

Pranay Goswami
05.01.12, 15:11

But what is your opinion about x - 2x > 1 ... according to you answer must be -1. But answer is x < -1. Simple solving inequalities.

Assignment Expert
05.01.12, 14:23

In the statement of question it's said that twice of a number is greater than half of the same number <u>by 60</u>, so we know exactly the difference between twice number and its half. hence we should use "=" not ">"

Pranay Goswami
29.12.11, 15:36

I think, answer is all numbers greater than 40. because there is > sign not =.

kuldeep
29.12.11, 15:18

Let the number be x.
ATQ,
2x - (x/2)=60
solving for x,
we get x=40