Answer:
The number is 72.
Step-by-step explanation:
Given:
Seven-eights of a number is 63.
To find the number.
Solution:
Let the unknown number be = [tex]x[/tex]
By the given statement :
[tex]\frac{7}{8}\ of\ x =63[/tex]
Thus, the equation to find the number can be given as:
[tex]\frac{7}{8}x =63[/tex]
Solving for [tex]x[/tex].
Multiplying both sides by 8 to remove fractions.
[tex]8\times\frac{7}{8}x =63\times 8[/tex]
[tex]7x =63\times 8[/tex]
Dividing both sides by 7.
[tex]\frac{7x}{7} =\frac{63\times 8}{7}[/tex]
7 will completely divide 7 and 63.
So, we have:
[tex]x=9\times 8[/tex]
∴ [tex]x=72[/tex]
Thus, the unknown number = 72
