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 = [tex]\frac{6}{(6+11)}\times (102)[/tex]
= 36 years
Therefore, age of r = 102 - 36
= 66 years
Since, ratio of p and q = 6 : 7
Therefore, [tex]\frac{\text{Age of p}}{\text{Age of q}}=\frac{6}{7}[/tex]
[tex]\frac{36}{q}=\frac{6}{7}[/tex]
q = [tex]\frac{36\times 7}{6}[/tex]
q = 42 years
