Question

4÷5 = 16÷x then the value of x is? *​

Answer 1

ANSWER✔

$\sf\therefore \dfrac{4}{5} = \dfrac{16}{x}$

$\sf\implies 4 \times x= 16 \times 5$

$\sf\implies 4x= 80$

$\sf\implies x= \dfrac{80}{4}$

$\sf\implies x= \cancel\dfrac{80}{4}$

$\sf\implies x=. 20$

$\large{\boxed{\bf{ \star\:\: x= 20\:\: \star}}}$

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Answer 2

ANSWER :-

$\\ \bigstar \: \boxed{ \mathfrak{value \: of \: x \: =20 }}$

GIVEN :-

• 4/5 = 16/x .

TO FIND :-

• The value of x.

SOLUTION :-

$\implies \sf \: \dfrac{4}{5} = \dfrac{16}{x}$

$\red \bigstar \blue{ \bf \: \: By \: \: cross \: \: multiplication}$

$\implies \tt \: 4\times x = 16 \times 5$

$\implies \tt \: 4x = 80$

$\implies \tt \: x = \dfrac{80}{4}$

$\implies \tt \: \boxed{ \red{ \bf \: x = 20}}$

★ Hence the required value of x is 20.

VERIFICATION :-

$\\ \implies \sf \: \dfrac{4}{5} = \dfrac{16}{x}$

$\red \bigstar \blue{ \bf \: Substitute \: \: x = 20}$

$\implies \sf \: \dfrac{4}{5} = \dfrac{16}{20}$

$\red \bigstar \blue{ \bf \: \: By \: \: cross \: \: multiplication}$

$\implies \tt \: 4\times 20= 16 \times 5$

$\implies \tt \: 80 = 80$

L.H.S = R.H.S

HENCE VERIFIED ✅