the age of a person is twice the sum of the ages of his 2 sons,. and five years ago his age was thrice the sum of their ages, find

Question

the age of a person is twice the sum of the ages of his 2 sons,. and five years ago his age was thrice the sum of their ages, find his present age​

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Alice 4 months 2021-08-01T09:14:35+00:00 1 Answers 0 views 0

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    2021-08-01T09:15:42+00:00

    Answer:

    Let the present age of person be x and the sum of the age of his 2 son be y

    According to the question the present age

    x=2y. …(1)

    and the age 5 year ago

    (x-5)=3(y-5)

    i.e. x-5=3y-15

    i.e. x-3y = -10.

    Putting the value of x from (1) , we get

    2y-3y=-10

    i.e.-y=-10

    i.e y = 10

    Putting this value of y in (1), We get

    x=2(10)=20

    Therefore the present age of person is 20 years and sum of the ages of his sons his 10

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