Question : The ratio of two numbers is 3 : 5. If both numbers are increased by 8, the ratio becomes 13 : 19. What is the sum of the two numbers?
Option 1: 32
Option 2: 48
Option 3: 40
Option 4: 72
Correct Answer: 48
Solution : Let the numbers be $3x$ and $5x$. According to the question, $\frac{3x+8}{5x+8}$=$\frac{13}{19}$ $⇒57x+152=65x+104$ $⇒8x=48$ $⇒x=6$ Thus, the numbers are 18 and 30. So, the sum of the numbers is 18 + 30 = 48 Hence, the correct answer is 48.
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