math

The difference between two natural numbers is 6.adding 10 to the twice of the larger number,we get 2 less than 3 times of the smaller number.find these numbers.

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  1. smaller ----- x
    larger ------ x+6

    Just translate the English into Math:

    2(6+x) + 10 = 3x - 2

    solve for x

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  2. let the smaller number be x. Then the larger number will be x+6. Now according to the question;
    2(x+6) +10=3x-2
    2x+ 12+ 10=3x-2
    3x-2x=12+10+2
    x=24 and the larger number will be (24+6)=30.

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