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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
40 and 42
Here is why
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 \[x + 1-\frac{ 4 }{ 5 }x=5\]
mk
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so one fifth x = 4 hence x = 20 so the smaller number is 2x = 40 and the larger is 2x + 2 = 42
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