Two numbers are in the ratio 5 : 8. If 5 is added to each number, their ratio becomes 2 : 3. The greater number is:
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 40
Numbers in the ratio 5 : 8 can be written as \(5k\) and \(8k\) for some number \(k\).
After 5 is added to each, the ratio is 2 : 3: \(\displaystyle\frac{5k+5}{8k+5}=\frac{2}{3}\)
\(15k+15=16k+10\)
\(k=5\)
The numbers are \(5\times5=25\) and \(8\times5=40\), so the greater number is 40