Given the statement:
A number, triple a number and -4 are added, the result is 60.
Let's find the number.
Let x represent the unknown number.
To find the unknown number, let's write an equation to represent this situation.
We have:
• A number: ,x
• Triple a number: ,3x
• A number, triple a number and -4 are added: ,x + 3x + (-4)
• A number, Triple a number and -4 are added, the result is 60: ,x + 3x + (-4) = 60
Hence, we have the equation:
x + 3x + (-4) = 60
Let's solve for x.
x + 3x - 4 = 60
4x - 4 = 60
Add 4 to both sides:
4x - 4 + 4 = 60 + 4
4x = 64
Divide both sides by 4:
[tex]\begin{gathered} \frac{4x}{4}=\frac{64}{4} \\ \\ x=16 \end{gathered}[/tex]Therefore, the unknown number is 16.
ANSWER:
16
