Q3. Two numbers are in the ratio 5:6. If 8 is subtracted from each.The ratio become 4:5.Find the number​

Question

Q3. Two numbers are in the ratio 5:6. If 8 is subtracted from each.The ratio become 4:5.Find the number​

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Autumn 1 month 2021-08-13T03:15:46+00:00 1 Answer 0 views 0

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    2021-08-13T03:17:02+00:00

    Answer:

    40 and 48

    Step-by-step explanation:

    let the two no be x and y

    therefore x / y = 5 / 6

    6 * x = 5 * y

    6 * x – 5 * y = 0 * 5

    30 * x – 25 * y = 0 ………………(i)

    also (x – 8)/(y – 8) = 4 / 5

    5 * x – 40 = 4 * y – 32

    5 * x – 4 * y – 8 = 0 *6

    30 * x – 24 * y – 48 = 0 …………………(ii)

    subtracting (i) from (ii)

    y – 48 = 0

    y = 48

    putting y = 48 in x/y = 5/6

    x/48 = 5/6

    x = 5 * 48 / 6

    x = 5 * 8

    x = 40

    therefore the two numbers are 40 and 48

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