Five years ago, Nina was twice as old as Sam. In five years, she will be 1.5 times as old as Sam. How old are Nina and Sam now?

Question

Five years ago, Nina was twice as old as Sam. In five years, she will be 1.5 times as old as Sam. How old are Nina and Sam now?

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Athena 2 weeks 2021-09-28T13:05:24+00:00 2 Answers 0

Answers ( )

    0
    2021-09-28T13:06:43+00:00

    Answer:

    age of Sam= 15 years

    age of Nina  = 25 years

    Step-by-step explanation:

    Let  Nina’s age be X years

    Let  Sam’s age be Y years

    Five years ago Nina’s age will be X- 5 years

    Five years ago Sam’s age will be Y- 5 years

    Given in question

    Five years ago, Nina was twice as old as Sam

    writing it mathematically using X and Y we have

    Nina’s age = 2 * Sam’s age

    X- 5 = 2 *(Y- 5)

    X = 2 *(Y- 5) + 5 = 2Y – 10 + 5 = 2Y – 5  _________________equation A

    __________________________________________________________

    Five years in future Nina’s age will be X+ 5 years

    Five years ago Sam’s age will be Y+ 5 years

    Given in question

    In five years, she will be 1.5 times as old as Sam

    writing it mathematically using X and Y we have

    Nina’s age = 1.5 * Sam’s age

    X+5 = 1.5 *(Y+ 5)

    X = 1.5*(Y+5) -5 = 1.5Y +7.5 – 5 = 1.5Y +2.5  _________________equation B

    _______________________________________

    in equation A we have X = 2Y – 5

    in equation B we have X = 1.5Y + 2.5

    equating equation A and B  we have

    2Y – 5 = 1.5Y +2.5

    => 2Y – 1.5Y = 2.5 + 5

    => 0.5Y = 7.5

    => Y = 7.5/0.5 = 15

    from equation A we have

    X = 2Y – 5  (substituting the value of Y = 15 in equation we have)

    X = 2*15 – 5 = 25

    Therefore age of Sam= 15 years

    age of Nina  = 25 years

    0
    2021-09-28T13:07:12+00:00

    Answer:

    Nina’s 25 and Sam’s 15

    Step-by-step explanation:

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