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.
Answers
Answered by
2
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
Answered by
6
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.
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