Two numbers are in the ratio 4 : 3. If 2 is added to each of the numbers the new ratio becomes 5 : 4. Then, find the numbers.
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 8, 6
Numbers in the ratio 4 : 3 can be written as \(4x\) and \(3x\). Adding 2 to each gives the new ratio.
\(\displaystyle \frac{4x+2}{3x+2}=\frac{5}{4}\)
\(16x+8=15x+10\)
\(x=2\), so the numbers are \(4\times2=8\) and \(3\times2=6\)