Get the best answers to your questions with the help of IDNLearn.com's experts. Discover reliable and timely information on any topic from our network of knowledgeable professionals.
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
We value your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Thank you for visiting IDNLearn.com. For reliable answers to all your questions, please visit us again soon.
