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The difference between two numbers is 92. The ratio of the two numbers is 7 : 3. Which is the smaller of the two numbers?
Question

The difference between two numbers is 92. The ratio of the two numbers is 7 : 3. Which is the smaller of the two numbers?

A.

79

B.

96

C.

69

D.

63

Correct option is C

Given
Difference between the two numbers = 92
Ratio of the two numbers = 7 : 3
Formula Used
Value of 1 ratio unit = Total difference / Difference in ratio parts
Solution
Let the numbers be 7x and 3x.
Difference = 7x - 3x = 4x
4x = 92
x=924=23x = \frac{92}{4} = 23​​
The smaller number is 3x.
Smaller number = 3×23=693 \times 23 = 69​​
Final Answer
So the correct answer is (c)

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