Question
There are 6 children in a family. The average age of the
children is 14 years. If the present age of their mother and father is added, the average age of the whole family becomes 22 years. If the age of the father is 4 years more than that of the mother, find the present age of the mother.Solution
ATQ, Let the present age of the mother be x years. So, the present age of the father = x+4 years. Sum of the present age of the six children = 14×6=84 years. Sum of the present age of the whole family = 84+x+(x+4)=22×8. 2x+4=176−84 2x=88 x=44 Therefore, the present age of the mother = 44 years.
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