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Sum of ages of Anu and Bhanu is 10 years more than sum of ages of Bhanu, Chanu and Dhanu. Average age of Chanu and Dhanu is 19 years. Find the average age of Anu and Dhanu if Dhanu is 10 years elder than Chanu. 
1. 36 years
2. 30 years
3. 25 years
4. 31 years

1 Answer

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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. 

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