Find three consecutive integers if the first is two-fifths of their sum?
Favorite Answer
x, x + 1 and x +2, their sum would be 3x +3
Since the first is 2 fifths of the total, we can make the equation:
x = (3x + 3) 2/5, multiply both side by 5
5 x = (3x + 3) x 2
5x = 6x + 6 subtract 6x from both sides
-x = 6; x = -6
Check the answer: -6 x 5/2 = [-6 + -5 + -4] = -15
second number : x + 1 (next integer)
third number : x + 2
sum = x + (x + 1) + (x + 2)
3x +3
first number (x) = 2/5 sum (3x +3)
x=2/5*(3x + 3)
that finds first integer then go back to the beginning to find the last two. Hope this helps 😀
sum=x+(x+1)+(x+2)=3x+3
x=2/5(3x+3)
5x=2(3x+3)
5x=6x+6
-x=6
x=-6
The numbers are -6,-5,-4 (Answer)
check: first one=-6
sum=-15
2/5(sum)=2/5(-15)=-6
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