Question

The numerator and denominator of a rational number are in the ratio 3:4. If the
denominator is increased by 3, the ratio becomes 3 5. Find the rational number,
5
10. A notar​

Answer 1

Answer:

Step-by-step explanation:

Let numerator be 3x and denominator be 4x.

If the denominator is increased by 3, then new denominator is 4x + 3.

$\frac{3x}{4x+3}$ = $\frac{3}{5}$

After cross-multiplication

5 × 3x = 3(4x + 3)

15x - 12x = 9

3x = 9

x = 3

$\frac{3*3}{4*3}$ = $\frac{9}{12}$ = $\frac{3}{4}$