# Chapter 6 - Algebra: Equations and Inequalities - 6.3 Applications of Linear Equations - Exercise Set 6.3: 9

The numbers are 19 and 45.

#### Work Step by Step

step 1 Let x represent the smaller number in the problem. step 2 "the other number exceeds x by 26" = $(x+26)$ "Their sum" = $x+ (x+26)$ step 3 "... equals 64" is written as " = 64". The equation is $x+ (x+26) =64$ step 4 Solve, answer the question. $x+ (x+26) =64\quad$. simplify the LHS $2x+26=64\qquad/-26$ $2x=38\qquad/\div 2$ $x=19$ The smaller number is 19. The other number is 19+26=45 step 5 Check the solution in the original wording of the problem. 45 exceeds 19 by 26. (OK) The sum of 19 and 45 is 64. (OK)

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.