The sum of two consecutive odd integers is 124,
What are the integers?

Question

The sum of two consecutive odd integers is 124, 
What are the integers?

anonymous · Answer

@wwhitlock

johnweldon1993 · Answer

Let our first integer be 2n + 1

Why 2n + 1? because any number times 2 comes out even right? and then adding 1 makes it automatically odd..

so we have 2n + 1......and the next consecutive number would be 2n + 3   since it would just be the same number plus 2

we know that equals 124....so

$$\large (2n + 1) + (2n + 3) = 124$$
$$\large 4n + 4 = 124$$
$$\large 4n = 120$$
$$\large n = 30$$

if 'n' = 30...we have

$$\large 2(30) + 1 = 61$$
$$\large 2(30) + 3 = 63$$

These are our 2 numbers

wolf1728 · Answer

2x+1 + 2x+3 = 124
4x=120
x=30
2x1+1 = 61
the other number is 63

wwhitlock · Answer

wolframalpha.com agrees. Medal should go to @johnweldon1993

wolf1728 · Answer

okay - he was quicker (and more detailed)

johnweldon1993 · Answer

It shouldn't because I gave out the answer -_- gotta watch that! lol...but this is the method you would use to solve these types of problems

wolf1728 · Answer

Sheesh 2 medals ?
Well I'll send you one too.