Question

11. The mean age of three people is 22 and their median age is 20.
The
range
of their
ages
is 16. How old is each person?​

Answer 1

MEAN AGE OF 3 PEOPLE = 22 (Mean is the sum of ages divided by no. of people here)

So sum of their ages = 22 × 3 = 66

MEDIAN = 20(Median is the middle number)

so one of the numbers is 20. So sum of other 2 = 66 - 20 = 46

Range = 16 (difference between highest and lowest number)

So X = Highest number            X + X - 16 = 46

X - 16 = Lowest number            = 2X - 16 = 46 (make 16 to the other side)

                                                 = 2X = 46 + 16 (- becomes + when taken to the

                                                 = 2x = 62                                            other side)

                                                    So X = 62/2 = 31   . so X - 16 = 31 - 16 = 15                    So the ages of each person are 15 , 20 , 31                                                                      Hope this helps :)                                                                

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