ABC26GN1664 · Problems on Numbers

Subject: General Aptitude · Chapter: Problems on Numbers · Exam: 2002 · Marks: · Difficulty:

If 50 is subtracted from two-third of a number, the result is equal to sum of 40 and one-fourth of that number. What is the number?

(a)174

(b)216

(c)246

(d)336

Answer

Answer (as printed):

Explanation

Let the number be $x$. Then, $\frac{2}{3} x-50=\frac{1}{4} x+40 \Leftrightarrow \frac{2}{3} x-\frac{1}{4} x=90$ $$\Leftrightarrow \frac{5 x}{12}=90 \Leftrightarrow x=\left(\frac{90 \times 12}{5}\right)=216 .$$

Explanation as extracted from the printed page; notation may be imperfect.

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