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Example Three consecutive even natural numbers are such that five times of the smallest exceeds three times the largest by 28. Find the middle number.
Solution :
You are looking for the middle number.
Let ’ x ’ be the required middle number
Hence the three consecutive even natural numbers are x - 2, x, x+2
Setting up equation as -
Five times of the smallest exceeds three times the largest by28
5 ( x - 2) = 3 ( x + 2 ) + 28
\ 5 x - 10 = 3 x + 6 +28
\ 5 x - 10 = 3 x + 34
\ 5 x - 3 x = 34 + 10
\ 2 x = 44
\ x = 22
Therefore, the middle number is 22.
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