Question

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The sum of the numerator and the denominator of A fraction is equal to 7.
Four times the numerator is 8 less than 5 times the denominator.
Find the fraction......



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OTHERWISE UR ACCOUNT WILL BE DELETED...............⚠⚠⚠











THOSE WHO KNOW THE SOLUTION CAN ANSWER............✔✔✔​

Answer 1

Answer:

Hey mate ✌️✌️

Step-by-step explanation:

Let the fraction be x/y

According to the first condition...

$x + y = 7........(1)$

According to the second condition....

4x = 5y - 8

4x - 5y = -8......(2)

Multiplying (1) by 5, we get

5x + 5y = 35.....(3)

Adding (2) & (3)

9x = 27

x = 3

Substituting in (1), we get

3 + y = 7

y = 4

So, the fraction is 3/4

Hope you understand...✌️✌️

Answer 2

Answer:

$\huge{\pink{\boxed{\green{\sf{\therefore FRACTION=\frac{3}{4}}}}}}$

Step-by-step explanation:

$\huge{\pink{\boxed{\green{\underline{\red{\sf{SOLUTION-}}}}}}}$

☆ Let numerator be X

☆ Let denominator be Y

☆ Let the fraction be X/Y

☆ According to given question:

$\: \: \: \: { \orange{given}} \\ { \pink{ \boxed{ \green{x + y = 7}}}} \\ { \pink{ \boxed{ \green{4x= 5y - 8}}}} \\ \\ { \blue{to \: find}} \\ { \purple{ \boxed{ \red{fraction = ?}}}}$

☆ Using substitution method to find the value of numerator and denominator:

$\to x + y = 7 \\ \to x = 7 - y - - - - - (1) \\ \\ \to 4x = 5y - 8 - - - - - (2) \\ putting \: value \: of \: x \: in \: (2) \\ \to 4 \times (7 - y) = 5y - 8 \\ \to 28 - 4y - 5y = - 8 \\ \to - 9y = - 8 - 28 \\ \to - 9y = - 36 \\ \to y = \frac{ - 36}{ - 9} \\ { \pink{ \boxed{ \green{ \therefore y = 4}}}} \\ \\ putting \: value \: of \: y \: in \: (1) \\ \to x = 7 - y \\ \to x = 7 - 4 \\ { \pink{ \boxed{ \green{ \therefore x = 3}}}} \\ \\ { \pink{ \boxed{ \green{ \therefore fraction = \frac{x}{y} = \frac{3}{4} }}}}$

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