Question 63

A family consists of two grandparents, two parents and four children. Two years ago, the average age of the grandparents was 72 years. One year ago, the average age ofparents was 36 years. At present, the average age of the children is 12 years. Whatis the present average age of the family?

Solution

Two years ago, Average age of two grandparents = 72 years

Sum of the ages of two grandparents = 72$$\times\ $$2= 144 

Sum of Present ages of two grandparents = 144+2+2=148 

One year ago, Average age of two parents = 36 years

Sum of the ages of two parents = 36$$\times\ $$2= 72

Sum of Present ages of two parents = 72+1+1=74

Present average age of four children = 12 years

Sum of Present ages of four children = 12$$\times\ $$4= 48

Present average age of family = $$\ \frac{\ 148+74+48}{2+2+4}$$= $$\ \frac{\ 270}{8}$$= 33.75 years                                                            


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