Question

I have some chair and tables.If i place two chair at each table ,I have extra chair.If i place 3 chairs at each table,i have one table with no chairs.What is the sum of the total umber of tables and chairs?

IQ question ,please ans anyhow and fast

Answer 1

`4` tables and `9` chairs

Explanation:

Let `t` be the number of tables
and `c` be the number of chairs.

If I place two chairs at each table, I have extra chair.
`rarr c=2t+1`

If I place 3 chairs at each table, I have one table with no chairs.
`rarr c=3(t-1)`

Therefore
`color(white)("XXX")2t+1=3(t-1)`

`color(white)("XXX")2t+1=3t-3`

`color(white)("XXX")4=t`

and since `c=2t+1`
`color(white)("XXX")c=2xx4+1=9`

Answer 2

4 tables 9 chairs

Explanation:

Let the count of chairs be `c`
Let the count of tables be `t`

Breaking down the question into its component parts:

`color(brown)("If I have two chairs at each table I have an extra chair")`

`c=2t+1`

`color(brown)("If I have one table to three chairs I have 1 table with no chairs")`

`c=3(t-1)`

`=>2t+1=c=3(t-1)`

`2t+1=3t-3`

`3t-2t=1+3`

`t=4`

But `c=2t+1`

`=>c=2(4)+1=9`