Two numbers are in the ratio 5 : 3, and the difference between these two numbers is 34 . Find the smaller of the two numbers.

Correct option is D

Given:

Ratio of the two numbers = 5:3

Difference between the numbers = 34

Solution: ​

Let the numbers be 5x and 3x 

Difference of parts in the ratio = 5x − 3x = 2x 

So, 

2x = 34 

x  = $$\frac{34}2$$  

x = 17 

Smaller number = $$17\times3$$ = 51

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