Question

The denominator of a rational number is greater than its numerator by
4. If the numerator is increased by 1 and the denominator is increased
by 3, the number obtained is 2. Find the rational number.​

Answer 1

Answer:

answer is -13/1 = -13

Step-by-step explanation:

let we take numerator be x

and according to question the denominator is greater than numerator by 4 so denominator will be x+4

x/x+4

now in the question it is said that the numerator is increased by 1 and denominator is increased by 3 so

numerator = x+1

denominator = x+4+3= x+7

now in the question it is said that the value of these numerator and denominator is equals to 2 so

x+1/x+7=2/1

then we will do the cross multiplication

= 1(x+1)=2(x+7)

=x+1=2x+14

=x-2x=14-1

= -x=13

so =x= -13

so it is said to write in the form of rational number and rational number is written in the p/Q form where Q is not equal to zero so the answer is -13 /1

check: -13+1/ -13+7 = 2

= -12/ -6 =2

= 2 ; =2

LHS =RHS

hope It helped you .thanks

Answer 2

Answer:

HOPE,THIS WILL HELP YOU

Step-by-step explanation:

let numerator = x

therefore,denominator = x+4      {given}

according to question,

    x+1/x+4+3 = 2

=   x+1/x+7 =2

=    x+1 = 2(x+7)        {by cross multiplication}

=    x+1 = 2x +14

=     1-14 = 2x -x

=     -13=x

numerator= x = -13

denominator= x+4 = -13+4= -9

now,

rational number = numerator/denominator

                           = -13/-9

                           = 13/9

THANKS