Question

The ratio of the age of 3 people p q and r is 6:7:11 if the sum of p and r is 102 years find age of q

Answer 1

Answer:

Age of q = 42 years

Step-by-step explanation:

Ratio of the ages of three people p, q and r is 6 : 7 : 11

Sum of the ages of p and r = 102 years

Age of p = $\frac{6}{(6+11)}\times (102)$

               = 36 years

Therefore, age of r = 102 - 36

                                = 66 years

Since, ratio of p and q = 6 : 7

Therefore, $\frac{\text{Age of p}}{\text{Age of q}}=\frac{6}{7}$

$\frac{36}{q}=\frac{6}{7}$

q = $\frac{36\times 7}{6}$

q = 42 years