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12 February, 11:26

The sum of two number is 49. Twice the larger is eight more than three times the smaller. Find the larger number.

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  1. 12 February, 11:45
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    the larger number is 29.4

    Step-by-step explanation:

    Let x be the larger number

    Let y be the second number.

    x + y = 49 solve for y

    y = 49 - x Substitute this value of y into 2x = 3y + 8

    2x = 3y + 8 Second equation

    2x = 3 (49 - x) Remove the brackets

    2x = 147 - 3x Add 3x to both sides.

    2x + 3x = 147 Combine like terms on the left

    5x = 147 Divide by 5

    5x/5 = 147/5

    x = 29.4
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