Question

father age is 3times the sum of ages of his two children.after 5 yrs his age will be twice the sum of the ages of his 2 children. find age of father?

Answer 1

Let the age of two children be x and y.

father's present age is 3(x+y).

age of children after 5 years= x+5+y+5
                                        = x+y+10

age of the father after 5 years= 2(x+y+10) or 3(x+y)+5

                        2x+2y+20 = 3x+3y+5

                        2x-3x + 2y-3y= -20+5

                                    -(x+y) = -15
                                     x+y = 15

                  3(x+y) = 3(15)
                            =45
therefore, present age of father is 45.

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