Aman Age is three times as his son’s age Ten year ago he was Five times his son’s age find the present ages​

Question

Aman Age is three times as his son’s age Ten year ago he was Five times his son’s age find the present ages​

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Autumn 3 days 2021-09-14T07:50:29+00:00 2 Answers 0 views 0

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    0
    2021-09-14T07:51:46+00:00

    Solution

    Given :

    • Aman Age is three times as his son’s age
    • Ten year ago he was Five times his son’s age

    Find :

    • Present age of Aman & his son’s

    Explanation

    Let,

    • Age of Aman = x years
    • Age of his son’s = y years

    A/C to question,

    (Aman Age is three times as his son’s age)

    ==> x = 3y

    ==> x – 3y = 0(1)

    Again,

    (Ten year ago he was Five times his son’s age)

    ==> (x – 10) = 5 × (y – 10)

    ==> x – 5y = -50 + 10

    ==> x – 5y = -40 (2)

    Subtract equ(1) & equ(2)

    ==> -3y + 5y = 40

    ==> 2y = 40

    ==> y = 40/2

    ==> y = 20

    Keep Value of y in equ(1)

    ==> x – 3 × 20 = 0

    ==> x = 60

    Hence

    • Present Age of Aman will be (x) = 60 years
    • Present Age of his son’s (y) = 20years

    _________________

    0
    2021-09-14T07:52:04+00:00

    Hello, Good Morning….

    Aman’s age is three times as his Son’s age. Ten years ago, he was five times his Son’s age. Find their present ages​..

    Answer:

    Let Aman’s Son’s present age be ‘x years.

    Aman’s age = 3x

    Aman’s age 10 years ago = (x – 10) years.

    Aman’s age 10 years ago = (3x – 10) years.

    Solution:

    = 3x – 10 = 5 (x – 10)

    = 3x – 10 = 5x – 50

    = (-10) + 50 = 5x – 3x

    = 40 = 2x

    Therefore, x = 20 years.

    Conclusion:

    Aman’s Son’s present age is 20 years.

    Aman’s age is 3x = 3 * 20 = 60 years.

    (An Extract from Class 8 – Mathematics – Linear Equations In One Variable)

    Hope this Helps….

    Have a Great Time Using Brainly…

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