Three consecutive odd integers are in increasing order such that the sum of the last two integers is 13 more than the first integer. Find the three integers?
let the 3 consecutive odd numbers are;2x+1,2x+3,2x+5
given condition is sumof last to odd numbers is 13 more.
so 2x+1+2x+3=2x+5+13
2x=14
x=7
so the numbers are:-15,17,19
Since the numbers are consecutive, LEt them be x,y and z
So,
x-y = -1
y-z = -1
x-y-z = -13
On solving these, we get x = 10 , y = 11 , z = 12
let the 3 consecutive odd numbers are;2x+1,2x+3,2x+5
given condition is sumof last to odd numbers is 13 more.
so 2x+1+2x+3=2x+5+13
2x=14
x=7
so the numbers are:-15,17,19
7,9,11