The four-digit number has a digit sum of 20. The sum of its last two digits is equal to its second digit increased by 5, the sum of its outer digits equals to its second digit decreased by 3. If we write the digits of the number in reverse order, the number increases by 2,178. Find the number.

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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Solve the worded problem using matrix method.

The four-digit number has a digit sum of 20. The sum of its last two digits is equal to its second
digit increased by 5, the sum of its outer digits equals to its second digit decreased by 3. If we
write the digits of the number in reverse order, the number increases by 2,178. Find the number.
Transcribed Image Text:The four-digit number has a digit sum of 20. The sum of its last two digits is equal to its second digit increased by 5, the sum of its outer digits equals to its second digit decreased by 3. If we write the digits of the number in reverse order, the number increases by 2,178. Find the number.
A cylinder made out of the yellow copper has the weight of 6.297 kg and the volume of 750
cm³. How many kilograms of copper and how many kilograms of zinc the cylinder contains ?
(The density of copper is 8,900 kg/m², the density of zinc is 7,100 kg/m³.)
Transcribed Image Text:A cylinder made out of the yellow copper has the weight of 6.297 kg and the volume of 750 cm³. How many kilograms of copper and how many kilograms of zinc the cylinder contains ? (The density of copper is 8,900 kg/m², the density of zinc is 7,100 kg/m³.)
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