What number is 23 more than three-quarters of itself?
A. 82
B. 92
C. 108
D. 116
E. 124
The OA is the option B.
How should I solve this PS question? Should I prove each option or should I set an equation that solves the problem? What is the best way? Thanks for your help.
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What number is 23 more than three-fourth of itself?
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Vincen
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Hello Vjesus12.
We can set equation that represents the problem as follows: $$x=23+\frac{3}{4}x\ $$ $$x-\frac{3}{4}x=23$$ $$\frac{1}{4}x=23\ $$ $$x=92.$$ Therefore, the correct answer is the option B.
I hope it helps you. <i class="em em-smiley"></i>
We can set equation that represents the problem as follows: $$x=23+\frac{3}{4}x\ $$ $$x-\frac{3}{4}x=23$$ $$\frac{1}{4}x=23\ $$ $$x=92.$$ Therefore, the correct answer is the option B.
I hope it helps you. <i class="em em-smiley"></i>
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Hi VJesus12,
We're asked for the number that is 23 more than three-quarters of itself. Many Test Takers would likely solve this question Algebraically (which is fine), but you can also solve it with a little Arithmetic and TESTing THE ANSWERS.
To start, if a number is 23 more than 3/4 of itself, then that difference of 23 must represent the 'missing 1/4' of that value. Thus, we're really asked "23 is 1/4 of what number?"
You probably already know that 25 is exactly 1/4 of 100, so 23 must be 1/4 of some number that is LESS than 100. You might also recognize that dividing 82 by 4 will lead to a NON-integer; adding 23 to a non-integer would end with a non-integer (and none of the answers are non-integers) so that's not going to be the answer. There's only one answer remaining.
Final Answer: B
GMAT assassins aren't born, they're made,
Rich
We're asked for the number that is 23 more than three-quarters of itself. Many Test Takers would likely solve this question Algebraically (which is fine), but you can also solve it with a little Arithmetic and TESTing THE ANSWERS.
To start, if a number is 23 more than 3/4 of itself, then that difference of 23 must represent the 'missing 1/4' of that value. Thus, we're really asked "23 is 1/4 of what number?"
You probably already know that 25 is exactly 1/4 of 100, so 23 must be 1/4 of some number that is LESS than 100. You might also recognize that dividing 82 by 4 will lead to a NON-integer; adding 23 to a non-integer would end with a non-integer (and none of the answers are non-integers) so that's not going to be the answer. There's only one answer remaining.
Final Answer: B
GMAT assassins aren't born, they're made,
Rich
GMAT/MBA Expert
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Jeff@TargetTestPrep
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We can let x = the actual number. Since the number is 23 more than 3/4 of itself, we can create the following equation to determine x.VJesus12 wrote:What number is 23 more than three-quarters of itself?
A. 82
B. 92
C. 108
D. 116
E. 124
x = 23 + (3/4)x
1/4(x) = 23
x = 92
Answer: B
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