Answer:
Age of q = 42 years
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 =
![(6)/((6+11))* (102)](https://img.qammunity.org/2022/formulas/mathematics/high-school/xe16caar3v9p37cosw9im9ntvzr4n4jq4f.png)
= 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}}=(6)/(7)](https://img.qammunity.org/2022/formulas/mathematics/high-school/pol888hjao1dyhjuvchrcq5ksbqdzbcltc.png)
![(36)/(q)=(6)/(7)](https://img.qammunity.org/2022/formulas/mathematics/high-school/zaa0wdhzvbxyuzch7c9iezwmiz7lcrcmv5.png)
q =
![(36* 7)/(6)](https://img.qammunity.org/2022/formulas/mathematics/high-school/h2hh97jvbpoiuilxt8wjfgbuhzw50r8ig3.png)
q = 42 years