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The sum of the ages of 4 members of a family 6 year ago was 96 years. Today when the daughter has been married off and replaced by daughter in law the sum of the family ages is 94 years. Then what is difference between age of daughter and daughter in law? a. 22 years b. 26 years c. 28 years d. 24 years

Question

The sum of the ages of 4 members of a family 6 year ago was 96 years. Today when the daughter has been married off and replaced by daughter in law the sum of the family ages is 94 years. Then what is difference between age of daughter and daughter in law?

a. 22 years

b. 26 years

c. 28 years

d. 24 years

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Solution

Let's solve this step by step:

Step 1: Six years ago, the sum of the ages of the 4 family members was 96 years. This means that the sum of their current ages is 96 years + 6 years for each person = 96 + 4*6 = 120 years.

Step 2: Today, with the daughter replaced by the daughter-in-law, the sum of the family ages is 94 years.

Step 3: The difference in the total age sum then and now is 120 - 94 = 26 years.

So, the difference in age between the daughter and the daughter-in-law is 26 years. Therefore, the answer is (b) 26 years.

This problem has been solved

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