Question : The ratio of two numbers is 4 : 5. If both numbers are increased by 4 the ratio becomes 5 : 6. What is the sum of the two numbers?
Option 1: 9
Option 2: 18
Option 3: 27
Option 4: 36
Answer (1)
25th Jan, 2024
Correct Answer: 36
Solution :
Let the numbers be $4x$ and $5x$.
According to the question,
$\frac{4x+4}{5x+4}=\frac{5}{6}$
$⇒24x+24=25x+20$
$⇒x=4$
Thus, the numbers are 16 and 20.
So, the sum of the numbers = 16 + 20 = 36
Hence, the correct answer is 36.
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