Math Problem Statement
The natural number consists of two digits whose product is 18 after interchanging digits,new number is 27 less than first,find the number.
Solution
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Math Problem Analysis
Mathematical Concepts
Algebra
Quadratic Equations
Digit Interchanging
Formulas
Product of digits: x * y = 18
Digit interchange equation: 10y + x = 10x + y - 27
Quadratic equation: y^2 + 3y - 18 = 0
Quadratic formula: y = (-b ± √(b^2 - 4ac)) / 2a
Theorems
Quadratic formula
Suitable Grade Level
Grades 8-10
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