Answer:
15, 17, 19
Step-by-step explanation:
Three consecutive odd integers can be represented by
x, x + 2, x + 4. You add 2 to each one to get the next one. Fun fact: you would do the same thing if the problem said the integers were even!
The largest integer is x + 4, so the sentence in the problem translates to an equation (sum means to add the integers together):
x + (x + 2) + (x + 4) = 2(x + 4) + 13
Distribute the 2, then combine like terms.
x + (x + 2) + (x + 4) = 2x + 8 + 13
3x + 6 = 2x + 21
Subtract 2x.
x + 6 = 21
Subtract 6.
x = 15
The integers requested are 15, 17, 19.
Check: Their sum is 51, which is 13 more than twice 19.
