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Find one-third part of a number whose one-third part exceeds the one-fifth part by 6.
Question

Find one-third part of a number whose one-third part exceeds the one-fifth part by 6.

A.

24

B.

15

C.

5

D.

45

Correct option is B

Given:

One-third part of a number exceeds its one-fifth part by 6.

Concept Used:

Let the number be x.

The equation formed based on the given condition is:

One-third part of the number = x/3

One-fifth part of the number = x/5

Solution:

According to the given condition,

x3x5=6 5x3x15=6 2x=90 x=45\frac{x}{3 }- \frac{x}{5 } = 6 \\\ \\\frac{5x - 3x}{15} = 6 \\\ \\2x = 90 \\\ \\x = 45 ​​

5x - 3x = 90

2x = 90

x = 45

The number is 45.

One-third part of the number is: 45/3 = 15

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