Question

If 15P R- 1 : 16 P R-2 =
3:4. Find
r​

Answer 1

Answer:

$\frac{15p}{r - 1} \times \frac{r - 2}{16p} = \frac{3}{4}$

$\frac{15(r - 2)}{16(r - 1)} = \frac{3}{4}$

$\frac{r - 2}{r - 1} = \frac{3}{4} \times \frac{16}{15} = \frac{4}{5}$

$5(r - 2) = 4(r - 1)$

$5r - 10 = 4r - 4$

$5r - 4r = 10 - 4$

$r = 6$

Ans.