Correct Answer - Option 1 : 36 years
Sum of ages of Anu and Bhanu is 10 years more than sum of ages of Bhanu, Chanu and Dhanu.
Bhanu + Chanu + Dhanu + 10 = Anu + Bhanu
=> Chanu + Dhanu + 10 = Anu _____ <i>
Average age of Chanu and Dhanu is 19 years.
(Chanu + Dhanu) / 2 = 19
Chanu + Dhanu = 19 × 2 years
Chanu + Dhanu = 38 years _____ <ii>
Putting the value of <ii> in <i>, we get:
38 + 10 = Anu
So, age of Anu is 48 years
Dhanu is 10 years elder than Chanu.
Dhanu – 10 = Chanu ____ <iii>
Putting the value of <iii> in <ii>, we get:
Dhanu – 10 + Dhanu = 38
=> 2Dhanu = 38 + 10
=> 2Dhanu = 48
=> Dhanu = 24 years
Average age of Anu and Dhanu = (48 + 24) ÷ 2 years
= 72 ÷ 2 years
= 36 years
Hence, ’36 years’ is the correct answer.