
Concept explainers
To find: A two digit number.

Answer to Problem 73E
The two digit number is 29.
Explanation of Solution
Given:
The sum of first and second digit of two-digit number is 7.
The number is increased by 27, when the digits are reversed.
Calculation:
Let the second digit be x, first digit be y and the two – digit number be
According to the given statement a system of equations is,
Second equation is,
That is,
Use substitution method to find the values of x and y.
Simplify equation (1) for the value of x.
Substitute
Simplify the above equation for the value of y.
The value of y is 2.
Back - substitute 2 for y in equation (1).
The value of x is 5.
The two – digit numbers is,
Thus, the two digit number is 25.
Chapter 10 Solutions
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