Question

THERE ARE CERTAIN NO OF CHAIR AND TABLE IN A ROOM IF WE ARRANGE TWO CHAIRS AND ONE TABLE STILL ONE CHAIR REMAINS
AND IF WE ARRANGE THREE CHAIRS AND ONE TABLE THEN ONE TABLE REMAINS
FIND NO IF CHAIRS AND TABLES

NO SPAM PLZ
I WILL MARK AS BRAINLIST ANSWER WITH SOLUTION

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.

→c=2t+1

If I place 3 chairs at each table, I have one table with no chairs.

→c=3(t−1)

Therefore

XXX2t+1=3(t−1)

XXX2t+1=3t−3

XXX4=t

and since c=2t+1

XXXc=2×4+1=9

Tony B

Nov 15, 2016

Answer:

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:

If I have two chairs at each table I have an extra chair

c=2t+1

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