## Thursday, March 29, 2012

### What is the Answer for 6÷2(1+2) , Is it 9 or 1

Hi guys,

It is a mathematical problem, How can we solve this If we use BODMAS/ PEMDAS the answer can be 1 or 9.
Lets try this
6÷2(1+2)
=6÷2(3)
=6÷2*3
=6÷6
=1

OR

6÷2(1+2)
=6÷2(3)
=6÷2*3
=3*3 because 6÷2 is 3
=9

In BODMAS order Bracket, Order, Division, Multiplication, Addition, Subtraction
In PEMDAS order  Parenthesis, Exponentiation, Multiplication,  Division , Addition, Subtraction

So the above two operation orders are contradict each other by changing the position of Multiplication and Division but mathematically the both Operators have same procedural.

So, If Multiplication and Division come next to each other We can solve the problem by applying left to right order. That is the left operator should solve first and after that the second left operator.

If we apply above theory to the problem

=6÷2*3
=6÷2 = 3
=3*3 = 9

But that is not the way, The way of doing this is,

1. plug an unknown value for any digit so that the equation should looks like the below
6÷Y(1+2) = 9
2. Now solve the equation for finding out the value for Y
6÷1Y+2Y = 9
6÷3Y = 9
6 = 9*3Y
6÷9 = 3Y
0.667 = 3Y
Y = 0.667 ÷ 3
Y = 0.222
We know in our equation we replace 2 by  Y so, Y should come as 2 So,

1. plug an unknown value for any digit so that the equation should looks like the below
6÷Y(1+2) = 1
2. Now solve the equation for finding out the value for Y
6÷1Y+2Y = 1
6÷3Y = 1
6 = 1*3Y
6÷1 = 3Y
6 = 3Y
Y = 6 ÷ 3
Y = 2                Yes that's it we have got Y=2 if the answer is 1 So, the answer for 6÷2(1+2) = 1

Hi Guys,