5 7= 37,8 4= 20,10 6= 34 6 4=?
Answers
Given:
- A series is given
5 7= 37
8 4= 20
10 6= 34
6 4=?
To Find:
- Find the missing number.
Solution:
- First square both the numbers and add them.
- Now, subtract both number from each other.
- Divide step first number by step second number.
Now,
⇒ 5 7 = 37
= (5² + 7²) ÷ ( 7 - 5)
= (25 + 49) ÷ 2
= 37
⇒ 4 8 = 20
= (4² + 8²) ÷ (8 - 4)
= (16 + 64) ÷ (4)
= 20
⇒ 6 10 = 34
= (6² + 10²) ÷ (6 - 10)
= ( 36 + 100) ÷ (4)
= 34
⇒ 6 4 = ?
= (6² + 4²) ÷ (6 - 4)
= (36 + 16) ÷(2)
= 26
Thus, The missing number is 26.
Read more on Brainly.in - https://brainly.in/question/16808767
Given data :
Sets are
5 7 (37) ; 8 4 (20) ; 10 6 (34)
To find :
The missing number in 6 4 (?)
Solution:
Logic applied behind :
Let A, B, C are the three numbers in the given set respectively.
Then, apply C = ( A² - B²) / | A - B |
5 7 (37), Here C = 37 :
A = 5, B = 7
Then, ( 5² + 7² ) / | 5 - 7 |
= (25 + 49) / |-2|
= 74/2
= 37 [=C]
8 4 (20), Here C = 20 :
A = 8, B = 4
Then, ( 8² + 4² ) / | 8 - 4 |
= (64 + 16) / |4|
= 80/4
= 20 [=C]
10 6 (34), Here C = 34 :
A = 10, B = 6
Then, ( 10² + 6² ) / | 10 - 6 |
= (100 + 36) / |4|
= 136/4
= 34 [=C]
6 4 (?), Here C = ? :
A = 6, B = 4
So, C = ( 6² + 4² ) / | 6 - 4 |
= (36 + 16) / |2|
= 52/2
= 26 [=C]
So, 26 is the answer.
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