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27 December, 05:45

The greater of two numbers is 1 more than twice the smaller. Three times the greater exceeds 5 times the smaller by 10. Find the numbers

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  1. 27 December, 06:53
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    y is 1 more than 2 times the smaler

    y=1+2 times x

    y=1+2x

    3 times y is bigger than 5 times x by 10

    3y=5x+10

    subsitute

    y=1+2x

    3 (1+2x) = 5x+10

    3+6x=5x+10

    subtract 3 from both sides

    6x=5x+7

    subtract 5x from both sides

    x=7

    subsitute

    y=1+2x

    y=1+2 (7)

    y=1+14

    y=15

    x=7

    y=15
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