Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Appendix - Extra Word Problems - Page 524: 33



Work Step by Step

Let the smaller number be $x$ and the larger number be $y$. Since the sum of the two numbers is 99, we obtain: $x+y=99$ Since the difference of the two numbers is 35, we obtain: $y-x=35$ Rearranging this equation to set the equation equal to $y$, we obtain: $y-x=35$ $y=35+x$ Therefore, we now have a pair of equations to solve. Substituting the second equation into the first equation, we obtain: $x+y=99$ $x+35+x=99$ $2x+35=99$ $2x=99-35$ $2x=64$ $x=32$ Substituting the value of $x$ in the first equation to find the value of $y$, we obtain: $x+y=99$ $32+y=99$ $y=99-32$ $y=67$ Therefore, the smaller number is 32 while the larger number is 67.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

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.