4/5 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? please solve it step by step. im poor in Math
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MARK AS BRAINLIEST
Answer: The number is x=630 and the half of that number is=\frac{630}{2}=315
2
630
=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
15
4
×
7
5x
−(
9
4
×
5
2x
)=8
⇒\frac{4x}{21}-\frac{8x}{45}=8
21
4x
−
45
8x
=8
Taking the LCM on the left hand side of the above equation, we get
⇒\frac{60x-56x}{315}=8
315
60x−56x
=8
⇒4x=25204x=2520
⇒x=\frac{2520}{4}x=
4
2520
⇒x=630x=630
Hence, the number is x=630 and the half of that number is=\frac{630}{2}=315
2
630
=315
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