Question

11,3=49. 5,19=? .7,13=100​

Answer 1

Answer:

144

Step-by-step explanation:

1)     square of [(11+3)/2]  = 49

3)    square of [(7+13)/2] = 100

hence     square of [(5+19)/2]  = 144

Answer 2

11 , 3 = 49 . 5 , 19 = 144 . 7 , 13 = 100

Given :

11 , 3 = 49 . 5 , 19 = ? . 7 , 13 = 100

To find :

The number in question mark

Solution :

Step 1 of 2 :

Find the pattern

Here it is given that

11 , 3 = 49 . 5 , 19 = ? . 7 , 13 = 100

$\displaystyle \sf{ 11 , 3 = { \bigg( \frac{11 + 3}{2} \bigg)}^{2} ={ \bigg( \frac{14}{2} \bigg)}^{2} = {7}^{2} = 49}$

$\displaystyle \sf{ 7 , 13 = { \bigg( \frac{7+ 13}{2} \bigg)}^{2} ={ \bigg( \frac{20}{2} \bigg)}^{2} = {10}^{2} = 100}$

Thus the pattern is

$\displaystyle \sf{ a , b = { \bigg( \frac{a + b}{2} \bigg)}^{2} }$

Step 2 of 2 :

Find the number

Thus we have

$\displaystyle \sf{ 5 , 19 = { \bigg( \frac{5 + 19}{2} \bigg)}^{2} ={ \bigg( \frac{24}{2} \bigg)}^{2} = {12}^{2} = 144}$

Hence we have

11 , 3 = 49 . 5 , 19 = 144 . 7 , 13 = 100

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ 2=3 4=15 7=48 11=120 9=?

https://brainly.in/question/21739201

2. 72496 is to 1315, 62134 is to 97 and 85316 to 167 then 28439 is to

https://brainly.in/question/22239317