Two numbers are in the ratio 6 : 5. If 5 is added to each number, the ratio becomes 7 : 6. Find the smaller number.
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 25
Write the numbers as \(6x\) and \(5x\) and cross-multiply the new ratio.
\(\displaystyle \frac{6x+5}{5x+5}=\frac{7}{6}\)
\(36x+30=35x+35\)
\(x=5\)
Numbers \(=30\) and \(25\)
Check: \(35:30=7:6\)
The smaller number is 25.