Divide 68 into two part such that the difference of 4/7 of one part and 2/5 of the other part is Zero.
Answers
Answer:
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Step-by-step explanation:
Answer:
34 is divided into two parts in such a way that
first part = 14
and
second part = 20
Explanation:
Given number = 34
Let 34 is divided into two parts
i.e
First part = x
Second part = (34-x)
According to the problem given,
\begin{gathered}\frac{4}{7}\:of \: first \: part\\=\frac{2}{5} \: of\: second \: part \end{gathered}74offirstpart=52ofsecondpart
\implies \frac{4}{7}\times x = \frac{2}{5} \times (34-x)⟹74×x=52×(34−x)
Do the cross multiplication, we get
\implies 20x = 14(34-x)⟹20x=14(34−x)
\implies 10x = 7(34-x)⟹10x=7(34−x)
\implies 10x=7\times 34 -7x⟹10x=7×34−7x
\implies 10x+7x = 7\times 34⟹10x+7x=7×34
\implies 17x = 7\times34⟹17x=7×34
\implies x = \frac{7\times 34}{17}⟹x=177×34
After cancellation,we get
\implies x = 14⟹x=14
First part = x = 14
Second part = 34-x
= 34 - 14
= 20
Therefore,
34 is divided into two parts in such a way that
first part = 14
and
second part = 20
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