*The difference between Bhupinder’s and Maninder’s age is 4 years and the difference between Maninder’s and Kaminder’s age is 10 years. What is the maximum possible value of the sum of the difference in their ages, taken two at a time?*

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The maximum possible value of the sum of the difference in their ages – taken two at a time – is 28 years. It is given that –
Difference between Bhupinder’s and Maninder’s age is 4 years
Difference between Maninder’s and Kaminder’s age is 10 years
To obtain maximum possible value, the difference between Bhupinder’s and Kaninder’s age should be maximum i.e. Maninder’s age should be in between Bhupinder’s and Kaninder’s age. Then, the difference between Bhupinder’s and Kaninder’s age is 14 years. Hence, the maximum possible value of the sum of the difference in their ages – taken two at a time – is (4 + 10 + 14)= 28 years.

B-M=4

K-M=10

So K-B=6

Sum of the difference in their ages taken two at a time=(B-M)+(K-M)+(K-B)=4+10+6=20

Ans:20 years

28..??

28 years

about 4 possibilities arise, 2 give the sum as 24 and remaining 2 give the sum as 28. So, the max. possible value is 28

28 year

the maximum possible sum of difference of ages taken two at a time = 28

B ~ M= 4

M ~ K= 10

=> B ~ K = 14

THEN, taking combinations of any two of (B,M and K) = 4+10+14

U are right I thought we have to take only two cases.

24…??