Question

Find the missing number if the same rule is followed.

2;5;3;=20
6;9;10=17
12;13;8=?

Answer 1

The missing number is equal to "249".

Step-by-step explanation:

We have,

2, 5, 3 = 20

, 6, 9, 10 = 17

To find, 12, 13, 8 = ?

The pattern follow,

$((First number)^{2} + (Second number)^{2} )-(Third number)^{2}$

2, 5, 3 = $(2^{2} +5^{2} )-3^{2} =(4+25)-9=29-9=20$

$6, 9, 10 = (6^{2} +9^{2} )-10^{2} =(36+81)-100=117-100=17$

Similarly,

$? = 12, 13, 8 = (12^{2} +13^{2} )-8^{2} =(144+169)-64=313-64=249$

Hence, the missing number is equal to "249".