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5 times n is three less than twice n. What number is three less than twice n?

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by BTGModeratorVI » Thu Aug 20, 2020 7:07 am

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5 times n is three less than twice n. What number is three less than twice n?

(A) -5
(B) -2
(C) -1
(D) 3
(E) 5

Answer: A
Source: Magoosh
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Re: 5 times n is three less than twice n. What number is three less than twice n?

by Brent@GMATPrepNow » Wed Aug 26, 2020 5:31 am
BTGModeratorVI wrote: ↑
Thu Aug 20, 2020 7:07 am
 5 times n is three less than twice n. What number is three less than twice n?

(A) -5
(B) -2
(C) -1
(D) 3
(E) 5

Answer: A
Source: Magoosh
5 times n is three less than twice n.
We can write: 5n = 2n - 3
Subtract 2n from both sides to get: 3n = -3
Solve: n = -1

What number is three less than twice n?
In other words, we want to find the value of 2n - 3
Replace n with -1 to get: 2(-1) - 3
Evaluate to get: -2 - 3 = -5

Answer: A

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Brent
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Re: 5 times n is three less than twice n. What number is three less than twice n?

by Scott@TargetTestPrep » Sun Aug 30, 2020 7:35 am
BTGModeratorVI wrote: ↑
Thu Aug 20, 2020 7:07 am
 5 times n is three less than twice n. What number is three less than twice n?

(A) -5
(B) -2
(C) -1
(D) 3
(E) 5

Answer: A
Solution:

We have:

5n = 2n - 3

3n = -3

n = -1

So 3 less than twice n is 2n - 3 = -2 - 3 = -5.

Answer: A

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