If the lesser of two consecutive even integers is five more than half the greater, what are the two integers?

let us say first(lesser) even integer is x

so that our next(greater) consecutive integer will be x+2

Framing expressions from given information:

the lesser of two consecutive even integers is five more than half the greater

half the greater here means (x+2) / 2

framing equation:

subtracting (x+2)/2 from left side, to bring common terms together:

finding lcd

lcd of 2 and 1 is 1, so converting both denominators into lcd ,

cross multiplying

taking -2 on right and adding

Answer x=12 and x+2=14

So lesser even integer is 12 and greater is 14

the two may have that, even a breakdown is probably offered

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step-by-step explanation: