Question

the numerator of a number is 7 less than the denominator . If the denominator is increased by 9 and the numerator by 2 we get the same number . find the number ​

Answer 1

Answer:

hey here is your answer

Let the denominator be X so that numerator is x-7

Old rational number=x-7/x

and new rational number will be x-7+2/x+9=x-5/x+9

According to the condition of the problem,

x-7/x=x-5/x+9

(x-7)(x+9)=(x-5)(x)

x²-7x+9x-63=x²-5x

2x+5x=63

7x=63

x=9

Therefeore Rational number x-7/x=9-7/9=2/9

and new rational number=9-5/9+9=4/18=2/9

hope it help you

Answer 2

Answer:

Let the denominator be x

numerator = x-7

second fraction--

Numerator = x-7+2 = x-5

denominator = x + 9

A/Q..

x-7 divided by x = x-5 divided by x+9

x+9(x-7) = x(x-5)

x+9x-63 = x^2 - 5x

x+9x+5x = x^2 + 63

15x = x^2 + 63