Question

*The numerator of a fraction is smaller than the denominator by 7. If 1 is added to the numerator and 1 is subtracted from the denominator then the new fraction is 6/5. Find denominator of the fraction.*

1️⃣ 11
2️⃣ 16
3️⃣ 9
4️⃣ can't say for sure​

Answer 1

Answer:

let the numerator be x and denominator be y

x+7=y

x-y=7 (1)

x+1/y-1=6/5

5x+5=6y-6

5x-6y=-11 (2)

multiplying (1) by 5, we get

5x-5y=35

5x-6y=-11

- + +

y = 46

ans. 4. can't say for sure

Answer 2

QUESTION :

The numerator of a fraction is smaller than the denominator by 7. If 1 is added to the numerator and 1 is subtracted from the denominator then the new fraction is 6/5. Find denominator of the fraction.

ANSWER :

Let the given fraction be x/y

Where x is the numerator and y is the denominator

TO FIND : y

so, given that,

The numerator of a fraction is smaller than the denominator by 7.

Means,

Denominator = Numerator + 7

y = x + 7 ..eq 1

Also,

If 1 is added to the numerator and 1 is subtracted from the denominator then the new fraction is 6/5.

(1 + Numerator)/(1 - Denominator) = 6/5

(1+x)/(y-1) = 6/5. ...eq 2

We know that from eq.1

y = 7 + x

Substitution in eq.2

(1+x)/(7+x-1) = 6/5

(1+x)/(6+x) = 6/5

By cross multiplication,

5 (1+x) = 6 (6+x)

5 + 5x = 36 + 6x

x = -31

y = 7 + (-31)

= -24

Therefore,the fraction x/y is

(-31/-24)= 31/24

Numerator - x = 31

Denominator - y = 24