Suresh Dinesh and Mahesh have a contest to see who bike the most distance together Suresh and Dinesh bike 21 kilometre the combined total for Suraj and Mahesh is 19 km together Mahesh and Dinesh Ride 22 kilometre who is the winner
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Given:
- Suresh, Dinesh and Mahesh have a contest to see who bike the most distance together.
- Suresh and Dinesh bike 21 kilometre.
- The combined total for Suresh and Mahesh is 19 km.
- Together Mahesh and Dinesh Ride 22 kilometre.
To find: the winner
Solution:
Let Suresh, Dinesh and Mahesh bike x, y and z respectively.
By the given conditions,
- x + y = 21 .....(1)
- x + z = 19 .....(2)
- z + y = 22 .....(3)
Subtracting (3) from (2), we get
- x - y = - 3 .....(4)
Adding (1) and (4), we get
- 2x = 18
- or, x = 9
Putting x = 9 in (1), we get
- 9 + y = 21
- or, y = 12
Putting y = 12 in (3), we get
- z + 12 = 22
- or, z = 10
We conclude that: y > z > x
Answer: Dinesh is the winner.
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