Question

The sum of the ages of 4 members of a family 5 years ago was 94 years. Today, when the daughter has be married off and replaced by a daughter-in-law ,the sum of their ages is 92. Assuming that there has been no other change in the family structure and all the people are alive, what is the difference in the age of the daughter and the daughter-in-law ?
A. 22 years
B. 11 years
C. 25 years
D. 19 years

Answer 1

Correct Answer - A
Let the 4 members are `x_(1),x_(2),x_(3)` , daughter
Sum of 4 members five years ago
`=x_(1)+x_(2)+x_(3)+` daughter =94
After 5 years,
`x_(1)+x_(2)+x_(3)+ ` daughter =114`" "...`(1)
`x_(1)+x_(2) + x_(3) `+ daughter in law =92` " "`...(2)
From (1) and (2), we get difference of ages of daughter and daughter in law =22 years.