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
Answer (1)
21st Jan, 2024
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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