Ratio of two numbers is 8:13. If 14 is added to each,the ratio becomes 2:3. Find the number

Question

Ratio of two numbers is 8:13. If 14 is added to each,the ratio becomes 2:3. Find the number

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Sophia 1 month 2021-08-20T16:13:55+00:00 2 Answers 0 views 0

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    0
    2021-08-20T16:14:58+00:00

    Step-by-step explanation:

    5:6/7/8-9+39=243+7896+25=8900

    0
    2021-08-20T16:15:02+00:00

    Ratio of the numbers = 8 : 13

    Let the two numbers be 8x and 13x .

    When 14 is added to these numbers the ratio becomes 2 : 3 .

    \longrightarrow \frac{8x + 14}{13x + 14} = \frac{2}{3}

    \longrightarrow 3(8x+14) =2(13x+14)

    \longrightarrow 24x +42 = 26x + 28

    \longrightarrow 26x - 24x = 42-28

    \longrightarrow 2x =  14

    \longrightarrow x = 7

    The numbers are 56 and 91 .

    HOPE IT HELPS U …….. 🙂

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