father age is 3 time the sum of the ages two children after 5 years his age will be twice the sum of ages of two children find

Question

father age is 3 time the sum of the ages two children after 5 years his age will be twice the sum of ages of two children find the agebof father​

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Ruby 4 months 2021-07-17T12:12:08+00:00 2 Answers 0 views 0

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    0
    2021-07-17T12:13:15+00:00

    Answer:

    Let the present age of father be x years

    And, the present age of two children be y years

    ⠀⠀⠀⠀⠀⠀⠀⠀According to the Given Condition

    Father age is 3 time the sum of the age of two children .

    :\implies x = 3y (i)

    Again ,

    After 5 years his age will be twice the sum of ages of two children .

    :\implies x+5 = 2(y+10)

    :\implies x+5 = 2y + 20

    :\implies x -2y = 15 (ii)

    Now, substitute the value of x = 3y in equation (ii) we get

    :\implies 3y -2y = 15

    :\implies y = 15

    Putting the value of y = 15 in equation (i) we get

    :\implies x = 3×15

    :\implies x = 45

    • Hence, the present age of father is 45 years .

    0
    2021-07-17T12:13:58+00:00

    Given :-

    Father  age is 3 time the sum of the ages two children after 5 years his age will be twice the sum of ages of two children

    To Find :-

    Age of father

    Solution :-

    Let age of father be x

    Age of two children be y

    x = 3 × y

    x = 3y

    After 5 years

    Age of father = x + 5

    Age of two sons = y + 5 + 5 = y + 10

    Now

    x + 5 = 2(y + 10)

    x + 5 = 2y + 20

    x – 2y = 20 – 5

    x – 2y = 15

    3y – 2y = 15

    y = 15

    x – 2(15) = 15

    x – 30 = 15

    x = 30 + 15

    x = 45

    \\

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