What will happen if you subtract your age from................

There is a magical trick in mathematics. Just follow steps as directed :–
1. Subtract your age from 78. For example my age is 33. So, 78 – 33 = 45
2. Then, add 1941 from the resulting answer. For example 1941 + 45 = 1986
3. Then, you will got your birth year.

COLLATZ CONJECTURE

Collatz Conjecture is also known as 3n + 1 problem. It is the biggest problem for mathematicians to solve it.
Take any natural number n. If  n is even, divide it by 2 to get n/2, if n is odd multiply it by 3 and add 1 to obtain 3n +1. Repeat this process indefinitely. the conjecture is that no matter what number you start with, you will always eventually reach 1.
Paul Erdos said about the collatz conjecture :
"Mathematics is not yet ready for such problems."

Is there any reason to think that a proof of the Collatz Conjecture would be complex rather that simple

PROVE THAT 6 – 3 = 6

                                6 – 3 = 6
Proof: It is very simple question,
                                         just turn 6 by 180° so we get 9
                       hence, 9 – 3 = 6
                                        Hence Proved

If the distance between the top of two trees 20 m and 28 m tall is 17 m, then the horizontal distance between the trees is :

Solution :       Let AB and CD be two trees such that AB = 20 m, CD = 28 m & BD = 17 m
                                           

Draw BE parallel to CD. Then, ED = 8 m.
By Pythagoras theorem,

                                 

If angle A and angle B are acute angles such that cos A = cos B, then show that angle A = angle B.

It is given that, cos A =  cos B
                                                                                 

       Therefore, AC/AB = BC/AB
                        By Cancelling AB
        we get, AC = BC
        As we know angles opposite to equal sides are equal.
                        angle A = angle B

                    HENCE PROVED