Question 272880
i love these type of problems its just a puzzle
you must know what 3 consecutive intergers are to understand how to do this. for example: consecutive odd numbers are 1,3,5,7,9... so if x=1 to get 3 we would have to add 2 to x so (x,x+2,x+4) are our 3 consecutive odd numbers.
"sum of the smallest and four times the largest is 61"
smallest is x and largest is x+4
{{{x+4(x+4)=61}}} multiply
{{{x+4x+16=61}}} add
{{{5x+16=61}}} subtract
{{{5x=45}}} divide
{{{x=9}}}
now solve for your numbers
(x,x+2,x+4)
(9,9+2,9+4)
(9,11,13)
{{{highlight(9)}}}{{{highlight(11)}}}{{{highlight(13)}}}