Question

If average age of a,b and c is 40 years. Average age of a and b is 49. What is the age of c

Answer 1

Answer:

c = 22

Step-by-step explanation:

According to given condition;

$\frac{a+b+c}{3}=40\\ \\a+b+c=40.3\\\\a+b+c=120.......(i)\\\\Also;\\\\\frac{a+b}{2}=49\\ \\a+b=49.2\\\\a+b=98........(ii)$

Subtract (ii) from (i)

$a+b+c=120\\-a-b=-98\\..................................\\c=22$