# Sum of dividend

If X is divided separately 2.63 and 1.40. And the results of the individual divisions are added to give a result less than X. What is X?

Result

x0 =  10.744

#### Solution:

$X/2.64 + X/1.40 < X \ \\ \dfrac{ 505 }{ 462 } X < X \ \\ \dfrac{ 43 }{ 462 } X < 0 \ \\ X < \dfrac{ 462 }{ 43 } \ \\ x_{0}=462/43=\dfrac{ 462 }{ 43 } \doteq 10.7442 \doteq 10.744$

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