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## Explanation

4/15 of 5/7 of a number is greater than 4/9 of 2/5 of the same number by 8.

Let suppose the number is “y”.

- 4/15 of 5/7 of y will be 4y/21.

- 4/9 of 2/5 of y will be 8y/45.

The statement discloses clearly 4y/21 – 8 = 8y/45

Through this equation we can easily determine value of y and half of it.

## To Find

Half of the number = ?

## Solution

Let suppose

Number = y

4/15 of 5/7 of y = 4/15 x 5/7 x y = 4/3 x 1/7 x y = 4y/21

4/9 of 2/5 of y = 4/9 x 2/5 x y = 8y/45

Now, according to the given condition

4y/21 – 8 = 8y/45

(4y – 168)/21 = 8y/45

45 (4y – 168) = 21 x 8y

180y – 7560 = 168y

180y – 168y = 7560

12y = 7560

y = 7560/12

y = 630

y/2 = 630/2

y/2 = **315 answer**

## Conclusion

4/15 of 5/7 of a number is greater than 4/9 of 2/5 of the same number by 8. The half of the number will be 315.