Math Problem Statement
a two digit number is a such that the digit at the one place is 4 more than the tens place the ratio of these number and number formed by reversing its digits is 47 find the number
Solution
Let's denote the two-digit number as , and let the tens digit be and the ones digit be .
From the problem statement, we have the following conditions:
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The digit at the ones place is 4 more than the tens place:
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The ratio of the number and the number formed by reversing its digits is 47. The number can be written as: The number formed by reversing the digits would be: The given ratio is: Substituting the expressions for and the reversed number:
Now, substitute into this equation: Simplifying the numerator and denominator:
Now, cross-multiply to solve for :
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Ratio and Proportions
Formulas
N = 10x + y
Reversed number = 10y + x
Ratio = N / Reversed number
Theorems
Basic algebraic manipulation
Ratio and proportion
Suitable Grade Level
Grades 7-9
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