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Question

A number is divided into two parts, such that one part is 20 more than the other. If the two parts are in the ratio 7 : 3, then find the number and the two parts. 



A

Number = 60, two parts are 30 and 30 

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B

Number = 50, two parts are 15 and 35

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C

Number = 50, two parts are 25 and 25

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D

Number = 50, two parts are 10 and 40 

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Solution

The correct option is C

Number = 50, two parts are 15 and 35


Let the two parts of the number be 7x and 3x.
According to the given data,          7x=3x+20.
So,
7x3x=20         4x=20           x=504           x=5

Therefore, the two parts are,
7x=7×5     =35
3x=3×5    =15

The number is therefore, 35+15=50.


Mathematics

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