Question

z upon z+15=4upon9
$\frac{z}{z + 15} = \frac{4}{9}$
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Answer 1

Answer:

z = 4

Step-by-step explanation:

$\frac{z}{z + 15} = \frac{4}{9} \\ \\ 9z = 4(z + 15) \\ \\ 9z = 4z + 20 \\ \\ 9z - 4z = 20 \\ \\ 5z = 20 \\ \\ z = \frac{20}{5} \\ \\ z = 4$

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Answer 2

Appropriate Question:-

Find the value of z which can satisfy the following equation:-

$\quad \bullet \quad \underline{ \boxed{ \sf\dfrac{z}{z + 15} = \dfrac{4}{9} }} \bigstar$

Solution :-

$\quad \longrightarrow \quad \sf \dfrac{z}{z + 15} = \dfrac{4}{9}$

$\\ \quad \longrightarrow \quad \sf 9z = 4 \bigg(z + 15 \bigg)$

$\\ \quad \longrightarrow \quad \sf 9z = 4z + 60$

$\\ \quad \longrightarrow \quad \sf 9z - 4z = 60$

$\\ \quad \longrightarrow \quad \sf 5z = 60$

$\\ \quad \longrightarrow \quad \sf z = \cancel\dfrac{60}{5}$

$\\ \quad \longrightarrow \quad \boxed{ \boxed{\sf z = 12}} \bigstar$

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