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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.
