8. Two numbers are such that the ratio between them is 3:5. If each is increased by 10, the ratio between the new numbers so formed is

Question

8. Two numbers are such that the ratio between them is 3:5. If each is increased by 10, the
ratio between the new numbers so formed is 5 : 7. Find the original numbers.

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Eliza 3 months 2021-11-02T21:44:25+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-11-02T21:45:59+00:00

    Answer:

    Step-by-step explanation:

    Given The ratio of the 2 no. is = 3:5

    Let the no. be 3x and 5x

    If each one is increased by 10

    They wil become = 3x + 10 and  5x + 10

    A/Q,

           3x + 10 / 5x + 10 = 5 / 7

           7 ( 3x + 10) = 5 ( 5x + 10)

            21x + 70 = 25x + 50

            21x – 25x  = 50 – 70

          – 4x = -20

             x = 20 / 4

           So, x = 5

    Now,

    The no. are =3x

    = 3 × 5

    = 15

    And  

    5x

    = 5 × 5

    = 25

    0
    2021-11-02T21:46:06+00:00

    ratios of numbers = 3 : 5

    let the constant ratios be x

    ratios now become = 3x : 5x

    after adding 10 to both the rational sides ==>

    3x + 10 : 5x + 10  =  5x : 7x

    let the ratios be put in fractional form.

    3x + 10 = 5x

    5x + 10 = 7x

    cross multiplication

    7x ( 3x + 10 ) = 5x ( 5x + 10 )

    => 21x^2 + 70x = 25x^2 + 50x

    => 21x^2 – 25x^2 = 50x – 70x

    => -4x^2 = -20x

    => 4x^2 = 20x

    => x^2 = 20x/4

    => x^2 = 5x

    => x * x = 5 * x

    => x = 5

    number 1 = 3x = 3 * 5 = 15

    number 2 = 5x = 5 * 5 = 25

    pls mark as brainliest if you are satisfied

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