If 50 is subtracted from two-third of a number, the result is equal to sum of 40 and one-fourth of that… · ABC26GN1664
Subject: General Aptitude · Chapter: Problems on Numbers · Exam: R.R.B. 2002
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?
Answer
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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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