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If the difference between two numbers is 52 and they are in the ratio 7 : 3, then find the greater of the two numbers.
Question

If the difference between two numbers is 52 and they are in the ratio 7 : 3, then find the greater of the two numbers.

A.

84

B.

65

C.

91

D.

70

Correct option is C

Given:

The difference of the two numbers = 52 

Ratio of these numbers = 7 : 3 

Solution:

Let the greater number = 7x 

smaller number = 3x 

According to the question 

7x- 3x = 52 

4x = 52 

x = 13 

then the grater number = 7x = 7×13=91\times13 = 91 ​​


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