Each family in a locality has at most two adults, and no family has fewer than 3 children. Considering all the families together, there are more adults than boys, more boys than girls, and more girls than families, then the minimum possible number of families in the locality is
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Step-by-step explanation:
Each family in a locality has at most two adults, and no family has fewer than 3 children. Considering all the families together, there are more adults than boys, more boys than girls, and more girls than families, then the minimum possible number of families in the locality is
Let say Number of Families = F
Number of ADULTS ≤ 2F
Number of children ≥ 3F
Number of children = Boys + Girls
=> Boys + Girls ≥ 3F
Girls > F
Boys > Girls
Boys < Adults
=> Boys < 2F
2F > Boys > Girls > F
for minimum possible families
Girls = F + 1
Boys = Girls + 1 = F + 2
Boys + Girls ≥ 3F => 2F + 3 ≥ 3F => 3 ≥ F
2F = Boys + 1 = F + 2 + 1 = F + 3
=> 2F = F + 3
=> F = 3
F = 3
3 Families
4 Girls
5 Boys
6 Adults
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