Question

the sum of the numerator and the denominator of a fraction is equal to 7.4 times the numerator is 8 less than 5 times the denominator .find a fraction.​

Answer 1

Step-by-step explanation:

Let fraction be x/y

x+y= 7----------1.

4x= 5y-8

x= 5y-8/4--------2.

substituting value of x in equation1.

5y-8/4+y = 7

5y-8+4y/4=7(taking LCM)

9y-8=7*4

9y= 28+8

y= 36/9

y=4

x+4=7(substituting in equation1.)

x=7-4=3

so fraction is 3/4

Answer 2

Answer:

Let numerator of the fraction is x and denominator of the fraction is y.

According to question,

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

and 4x+8=5y⇒4x−5y=−8 ......(2)

Now, Multiplying the equation (1) by 4. we get

4x+4y=28 .......(3)

On subtracting (2) from (3). we get,

9y=36

⇒y=4

By putting y=4 in equation (1). we get,

x+4=7

⇒x=3

Fraction = Numerator/Denominator

= x/y

= 3/4(ans)

Hope this is helpful for you.