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Mathematics 23 Online
OpenStudy (anonymous):

plzzzzz help

OpenStudy (anonymous):

Find two consecutive even numbers such that the difference of one-half the larger number and two-fifths the smaller number is equal to five. 38 and 40 40 and 42 42 and 44

OpenStudy (anonymous):

40 and 42

OpenStudy (anonymous):

Here is why

OpenStudy (anonymous):

let the smaller number by 2x and the larger 2x + 2 (since even and consecutive) half of the larger is x + 1 two fifths of the smaller gives four fifths x so \[x + 1-\frac{ 4 }{ 5 }x=5\]

OpenStudy (anonymous):

mk

OpenStudy (anonymous):

so one fifth x = 4 hence x = 20 so the smaller number is 2x = 40 and the larger is 2x + 2 = 42

OpenStudy (anonymous):

your smater than me

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