Question

.68.
If (p+q): (q+r): (r+p) = 6:7: 8 and p+q+r = 14, then
the value of r is.
(A) 6 (B) 7 (C) 8 (D) 14​

Answer 1

Answer:

r = 6

Step-by-step explanation:

(p+q): (q+r): (r+p) = 6:7: 8

=> p + q = 6x

q + r = 7x

r + p = 8x

Adding all these together

p + q + q + r + r + p = 6x + 7x + 8x

=> 2(p + q + r)  = 21x

=> 2 ( 14) = 21x

=> x = 28/21

=> x = 4/3

r = P + q + r  - (p + q)

=> r = 14 - 6x

=> r  = 14 - 6(4/3)

=> r= 14 - 8

=> r = 6

the value of r is 6