Welcome to Westonci.ca, your one-stop destination for finding answers to all your questions. Join our expert community now! Get detailed and accurate answers to your questions from a community of experts on our comprehensive Q&A platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.
Sagot :
Explanation
To solve the question we will have to set up a simultaneous equation
If x represents the larger number
y represents the smaller number, then
The sum of the two numbers is 35
[tex]Equation\text{ 1: x+y=35}[/tex]The larger number is one less than three times the smaller number.
[tex]Equation\text{ 2: }x=3y-1[/tex]So, we will solve the equation using the substitution method
Thus, we will substitute x = 3y -1 into equation 1
[tex]\begin{gathered} 3y-1+y=35 \\ 3y+y-1=35 \\ 4y-1=35 \\ 4y=35+1 \\ 4y=36 \\ \\ y=\frac{36}{4} \\ \\ y=9 \end{gathered}[/tex]The smaller number is 9
The larger number will be
[tex]\begin{gathered} x+y=35 \\ x=35-y \\ x=35-9 \\ x=26 \end{gathered}[/tex]The larger number is 26
The answers are 9 and 26
Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.