Global Statistics

All countries
240,188,856
Confirmed
Updated on October 14, 2021 6:29 pm
All countries
215,765,598
Recovered
Updated on October 14, 2021 6:29 pm
All countries
4,893,161
Deaths
Updated on October 14, 2021 6:29 pm

4/15 of 5/7 of a Number is Greater Than 4/9 of 2/5 of the Same Number by 8. What is the Half of that Number?

What are you looking for? Let’s dig in quickly

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.

LEAVE A REPLY

Please enter your comment!
Please enter your name here

Hot Topics

Related Articles

error: Content is protected !!