Question

answer the question mathssssssss​

Answer 1

Answer:

6/10

Step-by-step explanation:

see image for solution

cheese

:)

Answer 2

Question :

Numerator and denominator of a fraction are in the ratio of 3 : 5 . If 4 is subtracted from the numerator , it reduces to 1/5 . Find the fraction.

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Given :

• Numerator and denominator are in the ratio 3 : 5

• If 4 is subtracted from the numerator it becomes 1/5

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To find :

• The fraction

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Assumption :

• Let the fraction be $\sf\:\frac{x}{y}$

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Solution :

Given, $\sf\:\frac{x}{y}=\frac{3}{5}$

Cross multiplying

$\sf\implies\:5x=3y$--$\small\fbox{1}$

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Again numerator is reduced by 4

New fraction, $\sf\:\frac{x-4}{y}$

This fraction will be equal to 1/5 according to the question

$\sf\:\frac{x-4}{y}=\frac{1}{5}$

Cross multiplying

$\sf\implies\:5(x-4)=y$

$\sf\implies\:5x-20=y$ --$\small\fbox{2}$

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Substituting (1) in (2) we get,

$\sf\implies\:3y-20=y$

Transposing +y to LHS it becomes -y

$\sf\implies\:3y-y-20=0$

$\sf\implies\:2y-20=0$

Transposing -20 to RHS it becomes +20

$\sf\implies\:2y=20$

Transposing 2 to RHS it goes to the denominator

$\sf\implies\:y=\frac{20}{2}$

Reducing the fraction to lower terms

$\sf\implies\:y=\cancel{\frac{20}{2}}$

$\small{\underline{\boxed{\mathrm{\implies\:y=10}}}}$ --$\small\fbox{3}$

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Substituting (3) in (1) we get,

$\sf\:5x=3y$--$\small\fbox{1}$

$\sf\implies\:5x=3(10)$

$\sf\implies\:5x=3 \times 10$

$\sf\implies\:5x=30$

Transposing 5 to RHS it goes to the denominator

$\sf\implies\:x=\frac{30}{5}$

Reducing the fraction to lower terms

$\sf\implies\:x=\cancel{\frac{30}{5}}$

$\small{\underline{\boxed{\mathrm{\implies\:x=6}}}}$

‎Therefore the fraction will be x/y = 6/10 .

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Verification :

Let's subtract 4 from the numerator of the fraction 6/10 -

$\sf\:\frac{6-4}{10}$

According to the condition it will be equal to 1/5

$\sf\:\frac{6-4}{10} =\frac{1}{5}$

$\sf\dashrightarrow\:\frac{2}{10} =\frac{1}{5}$

Reducing the fraction in LHS

$\sf\dashrightarrow\:\cancel{\frac{2}{10}} =\frac{1}{5}$

$\sf\dashrightarrow\:\frac{1}{5} =\frac{1}{5}$

$\bf\dashrightarrow\:LHS=RHS$

Hence Verified !~

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❒ The fraction will be $\large{\mathfrak\purple{\frac{6}{10}}}$

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