The numerator of a fraction is 6 less than the denominator.if the sum of numerator and denominator is22, than what is fraction?
Answers
Answered by
3
Answer:
x/y = 8/14
Step-by-step explanation:
Let x be the numerator and y be the denominator.
It is given that;
x = y - 6 → eq(i)
Also,
x + y = 22 → eq(ii)
Put x = y-6 in eq (ii)
(y - 6) + y = 22
2y = 22 + 6
2y = 28
y = 28/2
y = 14
Put y = 14 in eq (i)
x = y - 6
x = 14 - 6
x = 8
Answered by
0
HEY Buddy....!! here is ur answer
Let, the numerator = x and denominator = y
Then, Given that : the numerator is 6 less than the denominator
So, according to the question : x+6 = y
=> x–y = 6.....(1)
and also given that : the sum of the numerator and denominator is 22
Then, according to the question : x+y = 22....(2)
From equation (1) and (2)
x–y = 6.....(1)
x+y = 22...(2)
On adding the equations...
2x = 28
=> x = 14
On putting the value of 'x' in equation (1)
=> y = 14+6 = 20
Now, Fraction will be => x/y = 14/20 = 7/10
I hope it will be helpful for you....!!
THANK YOU ✌️✌️
MARK IT AS BRAINLIEST
Let, the numerator = x and denominator = y
Then, Given that : the numerator is 6 less than the denominator
So, according to the question : x+6 = y
=> x–y = 6.....(1)
and also given that : the sum of the numerator and denominator is 22
Then, according to the question : x+y = 22....(2)
From equation (1) and (2)
x–y = 6.....(1)
x+y = 22...(2)
On adding the equations...
2x = 28
=> x = 14
On putting the value of 'x' in equation (1)
=> y = 14+6 = 20
Now, Fraction will be => x/y = 14/20 = 7/10
I hope it will be helpful for you....!!
THANK YOU ✌️✌️
MARK IT AS BRAINLIEST
Similar questions