Question : Two numbers are in the ratio 5 : 3 and the difference between these two numbers is 34.
Find the smaller of the two numbers.
Option 1: 51
Option 2: 85
Option 3: 68
Option 4: 34
Answer (1)
23rd Jan, 2024
Correct Answer: 51
Solution :
Let the numbers be $5x$ and $3x$.
According to the question,
$5x - 3x = 34$
⇒ $2x = 34$
⇒ $x = \frac{34}{2}= 17$
Large number is 5$x$ = 5 × 17 = 85
Smaller number is 3$x$ = 3 × 17 = 51
Hence, the correct answer is 51.
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