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2 June, 19:45

The sum of ages of Fahad and Ahmed is 38. Seven years ago, Fahad was 3 times as old as Ahmad. Find the age of Fahad and Ahmed

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  1. 2 June, 20:10
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    Ahmad's age is 13 and Fahad's age is 25

    Step-by-step explanation:

    Let us consider Ahmad's age be 'a' and Fahad's age be 'f'.

    Given that the sum of both their ages is 38

    a + f = 38

    f = 38 - a

    Seven years ago both their age will be 7 less from now. So,

    Ahmad's age will be (a-7) and Fahad's age will be (f - 7) and the given condition is that Fahad was 3 times as old as Ahmad.

    (f - 7) = 3 (a - 7)

    f - 7 = 3a - 21

    We can now substitute the f value in terms of a

    (38 - a) - 7 = 3a - 21

    38 - a - 7 + 21 = 3a

    38 - 7 + 21 = 3a + a

    52 = 4a

    a = 52 / 4

    a = 13

    If a = 13 then

    f = 38 - a

    f = 38 - 13

    f = 25

    Ahmad's age is 13 and Fahad's age is 25.
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