Question

Question #8f437

Answer 1

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`