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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.
Expert's answer
Let's denominate the unknown number by N. Now we can write down an equation:
2N - 60 = N/2.
So, 1.5N = 60 ==> N = 60/1.5 = 40.
2N - 60 = N/2.
So, 1.5N = 60 ==> N = 60/1.5 = 40.
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Comments
then my my answer is also true :)
84 > 21 + 60 => 84>81 that's true.
ok !! no problem !! lets take x = 42 the 2*42 = 84 > 42/2 + 60 => 84 > 21 + 60 => 84 > 84 True ??
You see in the statement of the question& that twice of a number is greater than half of the same number by 60 . 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
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 !!
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
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But what is your opinion about x - 2x > 1 ... according to you answer must be -1. But answer is x < -1. Simple solving inequalities.
In the statement of question it's said that twice of a number is greater than half of the same number by 60, so we know exactly the difference between twice number and its half. hence we should use "=" not ">"
I think, answer is all numbers greater than 40. because there is > sign not =.
Let the number be x. ATQ, 2x - (x/2)=60 solving for x, we get x=40
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