Question 146854
the difference between consecutive even (or odd) integers is two __ let x=1st integer


"one half of the first even integer" __ x/2


"one third of the third even integer" __ (x+4)/3


"one fourth of the fifth even integer" __ (x+8)/4


"the sum...is equal to 12" __ x/2+(x+4)/3+(x+8)/4=12


multiplying by 12 (LCM) __ 6x+4(x+4)+3(x+8)=144 __ distributing __ 6x+4x+16+3x+24=144 __ 13x=104


dividing by 13 __ x=8 __ so the numbers are 8, 10, 12, 14, 16