3 years later a mother will be 4 times as old as her son. 3 years ago ,the mother age was two times as old as her son age will be 8 ye

Question

3 years later a mother will be 4 times as
old as her son. 3 years ago ,the mother age was two times as old as her son age will be 8 years hence. What are their present ages?​

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Thu Hương 7 months 2021-08-02T08:06:31+00:00 1 Answers 6 views 0

Answers ( )

  1. dangkhoa
    0
    2021-08-02T08:08:26+00:00
    Reply

    Answer:

    • 33 and 6 years

    Step-by-step explanation:

    • Mother’s age = m
    • Son’s age = s

    3 years later:

    • m + 3 = 4(s + 3) ⇒ m = 4s + 12 – 3 = 4s + 9

    3 years ago:

    • m – 3 = 2(s + 8) ⇒ m = 2s + 18 + 3 = 2s + 21

    Solve for s by substitution:

    • 4s + 9 = 2s + 21
    • 2s = 12
    • s = 6

    Find the value of m:

    • m = 4*6 + 9 = 33

    Mother is 33 and son is 6

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