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A number is split into two parts such that one part is 14 more than the other, and the ratio of the two parts is 7 : 5. Find the number.
Question

A number is split into two parts such that one part is 14 more than the other, and the ratio of the two parts is 7 : 5. Find the number.

A.

54

B.

49

C.

84

D.

35

Correct option is C

Given: 

7 : 5 

Solution:  

Let the part of numbers be 7x and 5x 

difference 7x - 2x = 14 

2x = 14 

x = 7 

7x : 5x = 7x + 5x = 12x 

Thus the number

12x = 7×\times12 

= 84 

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