Question

5/3/4=18 3/5/3=65 9/6/3=?​

Answer 1

Given :

5 , 3 , 4 = 18

3 , 5 , 3 = 65

9 , 6 , 3 = ?

Solution :

In the above sequences the first numbers are the sequence of $a^{2} , a^{4} , a^{2} ........$

To solve this question we use the logic as

$a^{2} + (b + c)(b - c)$

where ,

a is the first number of sequence

b is the second number of the sequence

c is the third number of the sequence

lets first take the sequence of

5 , 3 , 4 = ?

a  = 5

b = 3

c = 4

substitute in the formula

$a^{2} + (b + c)(b - c)$

$5^{2} + ( 3 + 4)( 3 - 4) = 25 + (7)(-1)$

                             $= 25 - 7$

                             $= 18$

Therefore 5 , 3 , 4 = 18

Lets take second sequence now :

3 , 5 , 3 = ?

a = 3

b = 5

c = 3

substitute in the formula

$a^{4} - (b + c)(b - c)$

$3^{4} - (5 + 3)( 5 - 3) = 81 - (8)(2)$

                             $= 81 - 16$

                             $= 65$

Therefore, 3 , 5 , 3 = 65

Now lets take the third sequence :

9 , 6 , 3 = ?

Take the rule :

$a^{2} + (b + c)(b - c)$

$9^{2} + (6 + 3)(6 - 3) = 81 + (9)(3)$

                             $= 81 + 27$

                             $= 108$

Therefore , 9 , 6 , 3 = 108

                             

                             

                             

Answer 2

Let us get a logic from the problems first:

1st one.

5 | 3 | 4 = 18

>> 5 + 3 + 4 + (1 + 8) = 21

2nd one.

3 | 5 | 3 = 65

>> 3 + 5 + 3 + (6 + 5) = 22

We can see that the digits are added one by one.

From the first two numbers, we can say that the next sum must be 23.

3rd one.

9 | 6 | 3 = ??

>> 9 + 6 + 3 + ? + ? = 23

>> 18 + ? + ? = 23

>> ? + ? = 5

The sum of the digits of the required number must be equal to 5.

From the given option, we can say that, 50 is the only number given whose sum of the digits is 5.

Therefore, 9 | 6 | 3 = 50

Similar problem can be read here:

Q1. 5 / 3 / 4 = 18, 3 / 5 / 3 = 65, 9 / 6 / 3 = ?

- https://brainly.in/question/16228894

Q2. 3 3 4 5 = 63, 4 4 3 8 = 51; 9 9 7 5 = ?

- https://brainly.in/question/16258819