Question

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

Answer 1

let that number be x

4/15*5/7x - 4/9*2/5x = 8
4/21x - 8/45x = 8
calculating l.c.m and making denominators equal
60/315x - 56/315x = 8
4/315x = 8
x = 630
half of x = 315

Answer 2

Answer:

The number is x=630 and the half of that number is=$\frac{630}{2}=315$

Step-by-step explanation:

Let that number be=x, then according to question, the required equation is:

$\frac{4}{15}{\times}\frac{5x}{7}-(\frac{4}{9}{\times}\frac{2x}{5})=8$

⇒$\frac{4x}{21}-\frac{8x}{45}=8$

Taking the LCM on the left hand side of the above equation, we get

⇒$\frac{60x-56x}{315}=8$

⇒$4x=2520$

⇒$x=\frac{2520}{4}$

⇒$x=630$

Hence, the number is x=630 and the half of that number is=$\frac{630}{2}=315$