Question

if n÷(n+15)=4÷9
find the value of n​

Answer 1

Answer:

12 is right answer

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Answer 2

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$\star \rm \: \dfrac{n}{n + 15} = \dfrac{4}{9}$

$\longrightarrow \rm \: cross \: multiply$

$\mapsto \rm \: 9 \times n = (n + 15) \times 4$

$\mapsto \rm \: 9n = 4n + 60$

$\mapsto \rm \: 9n - 4n = 60$

$\mapsto \rm \: 5n = 60$

$\longrightarrow \rm \: divide \: by \: 5 \: both \: sides$

$\mapsto \rm \: \dfrac{5n}{5} = \dfrac{60}{5}$

$\mapsto \: \boxed{ \rm{n = 12}}$