Two numbers are in the ratio 2 : 3. If 2 is subtracted from the first and 2 is added to the second, the ratio… · ABC26GN3132
Subject: General Aptitude · Chapter: Ratio and Proportion · Exam: S.S.C. 2007
Two numbers are in the ratio 2 : 3. If 2 is subtracted from the first and 2 is added to the second, the ratio becomes 1 : 2. The sum of the numbers is
Answer
Explanation
Let the numbers be $2 x$ and $3 x$. Then, $\frac{2 x-2}{3 x+2}=\frac{1}{2} \Rightarrow 4 x-4=3 x+2 \Rightarrow x=6$. $$\text { ∴ } \text { Sum of the numbers }=2 x+3 x=5 x=5 \times 6=30 .$$
Explanation as extracted from the printed page; notation may be imperfect.
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