Join the growing community of curious minds on IDNLearn.com and get the answers you need. Discover comprehensive answers from knowledgeable members of our community, covering a wide range of topics to meet all your informational needs.
Sagot :
Larger number:32
Smaller number:10
Explanation
Step 1
set the equations
let x represents the larger number
let y represents the smaller number
so
a)The sum of two numbers is 42
rewrite
[tex]x+y=42\Rightarrow equation(1)[/tex]b)the smaller number is 22 less than the larger number( in other words you have to add 22 to the smaller number to get the larger one)
so
[tex]x=y+22\Rightarrow equation(2)[/tex]Step 2
Solve the equations
a)replace the x value form equation (2) into equation(1)
hence
[tex]\begin{gathered} x+y=42\Rightarrow equation(1) \\ (y+22)+y=42 \\ \text{add like terms} \\ 2y+22=42 \\ \text{subtract 22 in both sides} \\ 2y+22-22=42-22 \\ 2y=20 \\ \text{divide both sides by 2} \\ \frac{2y}{2}=\frac{20}{2} \\ y=10 \end{gathered}[/tex]therefore
the smaller number is 10
now, replace the y value into equation(1)
[tex]\begin{gathered} x+y=42\Rightarrow equation(1) \\ \text{replace} \\ x+10=42 \\ \text{subtract 10 in both sides} \\ x+10-10=42-10 \\ x=32 \end{gathered}[/tex]hence
the larger number is 32
I hope this helps you
x
Thank you for being part of this discussion. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. For precise answers, trust IDNLearn.com. Thank you for visiting, and we look forward to helping you again soon.
