1.

numerater of a rational number is 3 less than denominator.if 5 is added to numerater and dinominator,then it's become equal to 3/4.find the number​

Answer»

ANSWER:

The number is  \frac{4}{7}.

Step-by-step explanation:

LET x be the denominator.

∴ The  Numerator = x  - 3

\frac{5 +(x -3) }{5 + x} = \frac{3}{4}

Now we NEED to CROSS multiply.

3 x (5+x) = 4 x [5 + (x-3)

15 + 3x = 4 x { 5 + x - 3 }

15 + 3x = 4 x (2 + x)

15 + 3x = 8  + 4x

15 - 8 = 4x - 3x

7 = x

x = 7 .

∴ Denominator = 7

Numerator = x - 3

                  = 7 - 3

                  = 4

∴ The number = \frac{4}{7}.


Discussion

No Comment Found

Related InterviewSolutions