Question #8f437

1 Answer
Oct 30, 2017

31.5

Explanation:

consecutive integers means that they're one after the other (eg 1,2,3,4).

So your first integer is a, the next (b) is a+1, then c: a+2, then d: a+3.
We are to find the sum of the last two integers, that is, c+d. Or (a+2)+(a+3). Let's call it x.

And we know that the sum of them (all added up) = 59

So a + (a+1)+(a+2)+(a+3)=59
Expand all the brackets and simplify: 4a + 6=59

Now solve for a:
4a=53
a=13.25

Therefore the integers are 13.25, 14.25, 15.25, and 16.25. These add up to 59 which fits the criteria.

So the sum of the last two is 15.25+16.25=31.5