Jagdish is 3 years younger than Resham and Rajesh is 5 years older than Jagdish. If the product of present age of Resham and Rajesh is 960.H

Question

Jagdish is 3 years younger than Resham and Rajesh is 5 years older than Jagdish. If the product of present age of Resham and Rajesh is 960.How old is Jagdish?​

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Maria 3 days 2021-09-15T21:41:16+00:00 2 Answers 0

Answers ( )

  1. Charlotte
    0
    2021-09-15T21:42:51+00:00

    (x+3)(x+5)= 960

    (x)(x)+(x)(5)+(3)(x)+(3)(5)= 960

    x^2+5x+3x+15= 960

    x^2+8x+15= 960

    Moving 15 to the other side . Sign changes from +15 to -15

    x^2+8x+15-15= 960-15

    x^2+8x= 945

    move 945 to the other side. changes from + 945 to -945

    x^2+8x-945= 945-945

    x^2+8x-945

    (x+35)(x-27)=0

    x+35-35= 0-35 moving 35 to the other side

    x= -35

    x-27= 0

    x-27+27= 0+27 moving +27 to the other side

    person CANNOT be a negative number for the age

    Answer is x= 27

    Double Checking answer by using substitution method by using x=27

    (x+3)(x+5)= 960

    (27+3)(27+5)

    (27)(27)+(27)(5)+(3)(27)+(3)(5)

    729+135+81+15= 960

    729+135+96= 960

    960=960

    Answer : Jagdish is 27 years old

  2. Charlotte
    0
    2021-09-15T21:42:51+00:00

    Answer:

    Jagdish is 27 years old

    Step-by-step explanation:

    Jagdish=x

    Resham=x+3

    Rajesh=x+5

    (x+3)(x+5) = 960

    x²+8x+15=960

    x²+8x=945

    x²+8x-945=0

    now factor this to solve

    (x-27)=0 (x+35)=0

    which means

    x=27 and x=-35

    obviously, we cannot have negative ages so we use x=27

    so, Jagdish=27

    Resham=30

    Rajesh=32

    and we can check this by doing 30×32 which does equal 960 so it is correct

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