Question

The symbol {x} represents the sum of all the integers from 1 to x. For example {4}=1+2+3+4=10
If {a}-{b}=8, What could b equal?

Answer 1

Please help me @Loser66

Answer 2

{a}-{b}={8}
{a}-8={b}
hence a must be 8 and b =7 . let check
a =8
{8}= 1+2+3+4+5+6+7+8
{8}-8 = 1+2+3+4+5+6+7 ={7}={b}

Answer 3

the first line is {a}-{b}=8, not ={8}

Answer 4

However, I don't know how to put it in logic yet. Just use "try and error" method to find it out. It might have other solution but I didn't find it out yet.

Answer 5

@myko What do you think?

Answer 6

This is an SAT question and the options are
8
7
6
2
1

Answer 7

oh, it is quite easy now. So, 7 is the solution

Answer 8

i would say:
\({a}-{b}= |n_1 +n_2 \cdots a|=8\)
where n are consecutive integers.
So a + this integers must sum 8. Now just check which can match this.

Answer 9

i ment {a}-{b} in the first line

Answer 10

If a=8 and b=7
Then is it 36-28=8?

Answer 11

yes, thats the only possible solution

Answer 12

Okay it makes sense now thank you gym for helping me :)

Answer 13

There are none @myko

Answer 14

there are. Just 8 alone