ABC26GN1662 · Problems on Numbers

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

If the sum of one-half and one-fifth of a number exceeds one-third of that number by $7 \frac{1}{3}$, the number is

(a)15

(b)18

(c)20

(d)30

Answer

Answer (as printed):

Explanation

Let the number be $x$. Then, $\left(\frac{1}{2} x+\frac{1}{5} x\right)-\frac{1}{3} x=\frac{22}{3} \Leftrightarrow \frac{11 x}{30}$ $$=\frac{22}{3} \Leftrightarrow x=\left(\frac{22 \times 30}{3 \times 11}\right)=20 .$$

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

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