Answer:
n = 64
Step-by-step explanation:
3/4n - 8 = 5/8n
-8 = 5/8n - 6/8n
-8 = -1/8n
-n = -64
n = 64
The unknown number is 64.
Important information:
[tex]\dfrac{3}{4}[/tex] of a number [tex](n)[/tex] is [tex]\dfrac{3}{4}n[/tex].
Difference between [tex]\dfrac{3}{4}[/tex] of a number [tex](n)[/tex] and 8 is [tex]\dfrac{3}{4}n-8[/tex].
[tex]\dfrac{5}{8}[/tex] of the number is [tex]\dfrac{5}{8}n[/tex].
Using the given information form a linear equation.
[tex]\dfrac{3}{4}n-8=\dfrac{5}{8}n[/tex]
Now, solve the equation.
[tex]\dfrac{3}{4}n-\dfrac{5}{8}n=8[/tex]
[tex]\dfrac{6n-5n}{8}=8[/tex]
[tex]\dfrac{n}{8}=8[/tex]
Multiply both sides by 8.
[tex]n=64[/tex]
Therefore, the unknown number is 64.
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