In how many ways 2 different natural numbers can be chosen using the numbers between 0 and 160 (both inclusive) so that 70 is their average?
Answers
Given : numbers between 0 and 160 & average of two number chosen = 70
To Find : Number of Ways
Solution:
2 numbers has to be selected
& their average is 70
So sum of two numbers = 2 * 70 = 140
Number has to be selected from between 0 to 160
Number greater than 140 is not possible as there is no negative number available
so 140 =
0 + 140
1 + 139
2 + 138
69 + 71
70 + 70 ( not possible ) as two Different number has to be selected
Hence there are 70 ways in which two different natural numbers can be chosen using the numbers between 0 and 160 (both inclusive) so that 70 is their average
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Answer:
70
Step-by-step explanation:
So the average is given as,
( a + b )/ 2 = 70
a + b = 140
Since both cant be same so one number should be less than 70 and another greater than 70,
let 0 ≤ a ≤ 69 and 71 ≤ b ≤ 140
The total number of ways in which x can be chosen = 70C1 = 70 ways and the value of a depends on the value of b and there will be only one value of b corresponding to a value of a.