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

2 Answers
Alan P.
Nov 15, 2016

#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#

Tony B
Nov 15, 2016

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#

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