Ben is 4 times as old as Ishaan. 6 years ago, Ben was 6 times as old as Ishaan. How old is Ishaan now?

Question

Ben is 4 times as old as Ishaan. 6 years ago, Ben was 6 times as old as Ishaan.
How old is Ishaan now?

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Dâu 5 years 2021-07-23T01:28:56+00:00 2 Answers 58 views 1

Answers ( )

  1. Calantha
    0
    2021-07-23T01:30:23+00:00
    Reply

    Answer:

    Age of Ishaan = 15 years

    Step-by-step explanation:

    Let Ishaan’s age = x years

    Age of Ben = 4 * x = 4x years

    6Years ago:

    Age of Ishaan = x – 6

    Age of Ben = 4x – 6

    6 years ago, Ben was 6 times as old as Ishaan

    So, Age of Ben = 6 * Ishaan’s age

         4x – 6 = 6 *(x-6)

    4x – 6 = 6x – 36

    Add 36 to both sides

    4x – 6 + 36  = 6x  

    4x + 30 = 6x

    Subtract ‘4x’ from both sides

    30 = 6x – 4x  

    30 = 2x

    2x = 30

    Divide both by 2 sides

    x = 30/2

    x = 15

  2. thugiang
    0
    2021-07-23T01:30:26+00:00
    Reply

    Answer:

    Ishaan is currently 15 years old.

    Step-by-step explanation:

    Let B represent Ben’s current age and I represent Ishann’s current age.

    Ben is four times as old as Ishaan. In other words:

    B=4I

    Six years ago, Ben was six times as old as Ishaan. In other words:

    B-6=6(I-6)

    Solve for I. Substitute:

    (4I)-6=6(I-6)

    Distribute:

    4I-6=6I-36

    Subtract 4I from both sides and add 36 to both sides:

    2I=30

    And divide both sides by two. Hence:

    I=15

    Ishaan is currently 15 years old.

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