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19 December, 01:00

A x 10^5 + 2a x 10^4 = 7200000 and a x 10^5 - a x 10^4 = 5400000

Find the value of a

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Answers (1)
  1. 19 December, 01:13
    0
    60

    Step-by-step explanation:

    Looking at case 1.

    a * 10^5 + 2a * 10 ^4 = 7200000

    a * 10 * 10^4 + 2a * 10 ^4 = 7200000

    [10a + 2a] * 10^4 = 7200000

    12a = 7200000 / 10000

    12a = 720

    a = 720/12 = 60

    Looking at case 2,

    a * 10^5 - a * 10^4 = 5400000

    a * 10 * 10^4 - a * 10^4 = 5400000

    10a * 10^ 4 - a * 10^ 4 = 5400000

    [10a - a] * 10^4 = 5400000

    9a = 5400000/10000

    9a = 540

    a = 540/9

    a = 60
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