Two numbers are such that the ratio between them is 4 : 7. If each is increased by 4, the ratio becomes 3… · ABC26GN1684
Subject: General Aptitude · Chapter: Problems on Numbers
Two numbers are such that the ratio between them is 4 : 7. If each is increased by 4, the ratio becomes 3 : 5. The larger number is
Answer
Explanation
Let the numbers be $4 x$ and $7 x$. Then, $\frac{4 x+4}{7 x+4}=\frac{3}{5} \Leftrightarrow 5(4 x+4)=3(7 x+4) \Leftrightarrow x=8$. $$\therefore \quad \text { Larger number }=7 x=56 .$$
Explanation as extracted from the printed page; notation may be imperfect.
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