Question

P, Q and R represents three numbers respectively. The

ratio of P to (Q + R) is 1 : 3. The ratio of (P + Q) to R is

4 : 1. Find the ratio of P : Q : R.​

Answer 1

Answer:

5 : 11 : 4 is the answer

Step-by-step explanation:

P: Q+R = 1 : 3

P/Q+R = 1/3

3P= Q+R

Q+R = 3P ---- 1

P+Q:R = 4:1

P+Q/R = 4/1

P+Q = 4R ---- 2

eq. 1 - eq. 2 =

R - P = 3P - 4R

5R = 4P

R = 4P/5 ---- 3

putting 3 in 1

Q + 4P/5 = 3P

Q = 11P/5

So, P:Q:R

= P : 11P/5 : 4P/5

= 5P : 11P : 4P (multiplying by 5)

= 5 : 11 : 4 (dividing by P)

Answer 2

Answer:

Step-by-step explanation:

p/(q +r) = 1/3

q + r = 3p

3p-q = r .    ---------(1)

similarly  as (p + q)/r = 4/1

p + q=4r         ----------(2)

adding  1 and 2

4p = 5r

p = 5r/4

putting in 2

q = 4r-5r/4

q= 11r/5

p/q = 5/11

q/r = 11/4

so, p:q:r = 5:11:4 -------answer