Chapter 4.7, Problem 54STP

To determine

To find: the value of $x$ .

Answer to Problem 54STP

The value of $x$ is $450$ .

Explanation of Solution

Given information:

The sum of integers $x+y$

  $=495$ .

The digit at ones place of $x$ is $0$ .

Also if $x$ is divided by $10$ the result is equal to $y$ .

Formula used:

If $x$ is divided by $10$ the result is equal to $y$ .

Also $x+y$ $=495$ .

Calculation:

Consider that the sum of integers $x+y$

  $=495$ .

Since the digit at ones place of $x$ is $0$ .

Here we will consider the value of $x$ as $450$ .

Recall that if $x$ is divided by $10$ the result is equal to $y$ .

Therefore $\frac{450}{10}=45$ which will be equal to $y$ .

Recall that $x+y$ $=495$ .

Therefore $450+45=495$ which is equal to $495$ .

Therefore the value of $x=495$ is true.