2. The sum of two numbers 146. The larger number is sixteen less than five times the smaller number. Find both numbers.

Let's denote the smaller number as x. According to the problem, the larger number is 5x - 16. The sum of these two numbers is 146, so we can write the equation:<br /><br />x + (5x - 16) = 146<br /><br />Simplifying the equation, we get:<br /><br />6x - 16 = 146<br /><br />Adding 16 to both sides, we have:<br /><br />6x = 162<br /><br />Dividing both sides by 6, we find:<br /><br />x = 27<br /><br />So, the smaller number is 27. To find the larger number, we substitute x = 27 into the expression 5x - 16:<br /><br />5(27) - 16 = 135 - 16 = 119<br /><br />Therefore, the larger number is 119.<br /><br />In conclusion, the two numbers are 27 and 119.